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Finding the Third Proportional to 506,376 and 787,212

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Solution

The third proportional to 506,376 and 787,212 is: 1,223,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,376 : 787,212 = 787,212 : x
  2. Step 2: Convert to fraction form
    506,376/787,212 = 787,212/x
  3. Step 3: Cross multiply
    506,376x = 787,212 × 787,212
  4. Step 4: Simplify right side
    506,376x = 619,702,732,944
  5. Step 5: Solve for x
    x = 619,702,732,944/506,376
  6. Step 6: Final answer
    x = 1,223,799.57

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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.