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Finding the Third Proportional to 129,215,316 and 283,537,120

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Solution

The third proportional to 129,215,316 and 283,537,120 is: 622,165,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,316 : 283,537,120 = 283,537,120 : x
  2. Step 2: Convert to fraction form
    129,215,316/283,537,120 = 283,537,120/x
  3. Step 3: Cross multiply
    129,215,316x = 283,537,120 × 283,537,120
  4. Step 4: Simplify right side
    129,215,316x = 80,393,298,417,894,400
  5. Step 5: Solve for x
    x = 80,393,298,417,894,400/129,215,316
  6. Step 6: Final answer
    x = 622,165,397.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.