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Finding the Third Proportional to 506,432 and 787,296

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Solution

The third proportional to 506,432 and 787,296 is: 1,223,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,432 : 787,296 = 787,296 : x
  2. Step 2: Convert to fraction form
    506,432/787,296 = 787,296/x
  3. Step 3: Cross multiply
    506,432x = 787,296 × 787,296
  4. Step 4: Simplify right side
    506,432x = 619,834,991,616
  5. Step 5: Solve for x
    x = 619,834,991,616/506,432
  6. Step 6: Final answer
    x = 1,223,925.41

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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.