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Finding the Third Proportional to 436,547.50 and 656,446

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Solution

The third proportional to 436,547.50 and 656,446 is: 987,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,547.50 : 656,446 = 656,446 : x
  2. Step 2: Convert to fraction form
    436,547.50/656,446 = 656,446/x
  3. Step 3: Cross multiply
    436,547.50x = 656,446 × 656,446
  4. Step 4: Simplify right side
    436,547.50x = 430,921,350,916
  5. Step 5: Solve for x
    x = 430,921,350,916/436,547.50
  6. Step 6: Final answer
    x = 987,112.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.