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Finding the Third Proportional to 802,902.38 and 1,172,317.43

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Solution

The third proportional to 802,902.38 and 1,172,317.43 is: 1,711,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,902.38 : 1,172,317.43 = 1,172,317.43 : x
  2. Step 2: Convert to fraction form
    802,902.38/1,172,317.43 = 1,172,317.43/x
  3. Step 3: Cross multiply
    802,902.38x = 1,172,317.43 × 1,172,317.43
  4. Step 4: Simplify right side
    802,902.38x = 1,374,328,155,949.11
  5. Step 5: Solve for x
    x = 1,374,328,155,949.11/802,902.38
  6. Step 6: Final answer
    x = 1,711,700.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.