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Finding the Third Proportional to 267,788 and 391,420

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Solution

The third proportional to 267,788 and 391,420 is: 572,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,788 : 391,420 = 391,420 : x
  2. Step 2: Convert to fraction form
    267,788/391,420 = 391,420/x
  3. Step 3: Cross multiply
    267,788x = 391,420 × 391,420
  4. Step 4: Simplify right side
    267,788x = 153,209,616,400
  5. Step 5: Solve for x
    x = 153,209,616,400/267,788
  6. Step 6: Final answer
    x = 572,130.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.