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Finding the Third Proportional to 84,830,731.50 and 129,713,376

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Solution

The third proportional to 84,830,731.50 and 129,713,376 is: 198,342,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830,731.50 : 129,713,376 = 129,713,376 : x
  2. Step 2: Convert to fraction form
    84,830,731.50/129,713,376 = 129,713,376/x
  3. Step 3: Cross multiply
    84,830,731.50x = 129,713,376 × 129,713,376
  4. Step 4: Simplify right side
    84,830,731.50x = 16,825,559,913,317,376
  5. Step 5: Solve for x
    x = 16,825,559,913,317,376/84,830,731.50
  6. Step 6: Final answer
    x = 198,342,742.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.