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Finding the Third Proportional to 145,160,834 and 215,020,132

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Solution

The third proportional to 145,160,834 and 215,020,132 is: 318,499,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160,834 : 215,020,132 = 215,020,132 : x
  2. Step 2: Convert to fraction form
    145,160,834/215,020,132 = 215,020,132/x
  3. Step 3: Cross multiply
    145,160,834x = 215,020,132 × 215,020,132
  4. Step 4: Simplify right side
    145,160,834x = 46,233,657,165,297,424
  5. Step 5: Solve for x
    x = 46,233,657,165,297,424/145,160,834
  6. Step 6: Final answer
    x = 318,499,528.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.