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Finding the Third Proportional to 581,716.69 and 813,645

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Solution

The third proportional to 581,716.69 and 813,645 is: 1,138,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,716.69 : 813,645 = 813,645 : x
  2. Step 2: Convert to fraction form
    581,716.69/813,645 = 813,645/x
  3. Step 3: Cross multiply
    581,716.69x = 813,645 × 813,645
  4. Step 4: Simplify right side
    581,716.69x = 662,018,186,025
  5. Step 5: Solve for x
    x = 662,018,186,025/581,716.69
  6. Step 6: Final answer
    x = 1,138,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.