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Finding the Third Proportional to 506,306 and 784,985

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Solution

The third proportional to 506,306 and 784,985 is: 1,217,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,306 : 784,985 = 784,985 : x
  2. Step 2: Convert to fraction form
    506,306/784,985 = 784,985/x
  3. Step 3: Cross multiply
    506,306x = 784,985 × 784,985
  4. Step 4: Simplify right side
    506,306x = 616,201,450,225
  5. Step 5: Solve for x
    x = 616,201,450,225/506,306
  6. Step 6: Final answer
    x = 1,217,053.42

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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.