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Finding the Third Proportional to 499,373 and 782,528

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Solution

The third proportional to 499,373 and 782,528 is: 1,226,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,373 : 782,528 = 782,528 : x
  2. Step 2: Convert to fraction form
    499,373/782,528 = 782,528/x
  3. Step 3: Cross multiply
    499,373x = 782,528 × 782,528
  4. Step 4: Simplify right side
    499,373x = 612,350,070,784
  5. Step 5: Solve for x
    x = 612,350,070,784/499,373
  6. Step 6: Final answer
    x = 1,226,237.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.