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Finding the Third Proportional to 160,397,450,169 and 344,079,211,051

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Solution

The third proportional to 160,397,450,169 and 344,079,211,051 is: 738,107,141,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,397,450,169 : 344,079,211,051 = 344,079,211,051 : x
  2. Step 2: Convert to fraction form
    160,397,450,169/344,079,211,051 = 344,079,211,051/x
  3. Step 3: Cross multiply
    160,397,450,169x = 344,079,211,051 × 344,079,211,051
  4. Step 4: Simplify right side
    160,397,450,169x = 118,390,503,477,478,592,348,160
  5. Step 5: Solve for x
    x = 118,390,503,477,478,592,348,160/160,397,450,169
  6. Step 6: Final answer
    x = 738,107,141,682.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.