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Finding the Third Proportional to 506,920 and 784,647

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Solution

The third proportional to 506,920 and 784,647 is: 1,214,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,920 : 784,647 = 784,647 : x
  2. Step 2: Convert to fraction form
    506,920/784,647 = 784,647/x
  3. Step 3: Cross multiply
    506,920x = 784,647 × 784,647
  4. Step 4: Simplify right side
    506,920x = 615,670,914,609
  5. Step 5: Solve for x
    x = 615,670,914,609/506,920
  6. Step 6: Final answer
    x = 1,214,532.70

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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.