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Finding the Third Proportional to 423,642 and 625,607

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Solution

The third proportional to 423,642 and 625,607 is: 923,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,642 : 625,607 = 625,607 : x
  2. Step 2: Convert to fraction form
    423,642/625,607 = 625,607/x
  3. Step 3: Cross multiply
    423,642x = 625,607 × 625,607
  4. Step 4: Simplify right side
    423,642x = 391,384,118,449
  5. Step 5: Solve for x
    x = 391,384,118,449/423,642
  6. Step 6: Final answer
    x = 923,855.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.