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Finding the Third Proportional to 78,971,856 and 176,091,594

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Solution

The third proportional to 78,971,856 and 176,091,594 is: 392,649,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971,856 : 176,091,594 = 176,091,594 : x
  2. Step 2: Convert to fraction form
    78,971,856/176,091,594 = 176,091,594/x
  3. Step 3: Cross multiply
    78,971,856x = 176,091,594 × 176,091,594
  4. Step 4: Simplify right side
    78,971,856x = 31,008,249,477,460,836
  5. Step 5: Solve for x
    x = 31,008,249,477,460,836/78,971,856
  6. Step 6: Final answer
    x = 392,649,369.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.