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Finding the Third Proportional to 287,579 and 625,351

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Solution

The third proportional to 287,579 and 625,351 is: 1,359,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,579 : 625,351 = 625,351 : x
  2. Step 2: Convert to fraction form
    287,579/625,351 = 625,351/x
  3. Step 3: Cross multiply
    287,579x = 625,351 × 625,351
  4. Step 4: Simplify right side
    287,579x = 391,063,873,201
  5. Step 5: Solve for x
    x = 391,063,873,201/287,579
  6. Step 6: Final answer
    x = 1,359,848.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.