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Finding the Third Proportional to 431,112 and 652,636

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Solution

The third proportional to 431,112 and 652,636 is: 987,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,112 : 652,636 = 652,636 : x
  2. Step 2: Convert to fraction form
    431,112/652,636 = 652,636/x
  3. Step 3: Cross multiply
    431,112x = 652,636 × 652,636
  4. Step 4: Simplify right side
    431,112x = 425,933,748,496
  5. Step 5: Solve for x
    x = 425,933,748,496/431,112
  6. Step 6: Final answer
    x = 987,988.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.