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Finding the Third Proportional to 506,918 and 784,644

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Solution

The third proportional to 506,918 and 784,644 is: 1,214,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,918 : 784,644 = 784,644 : x
  2. Step 2: Convert to fraction form
    506,918/784,644 = 784,644/x
  3. Step 3: Cross multiply
    506,918x = 784,644 × 784,644
  4. Step 4: Simplify right side
    506,918x = 615,666,206,736
  5. Step 5: Solve for x
    x = 615,666,206,736/506,918
  6. Step 6: Final answer
    x = 1,214,528.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.