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Finding the Third Proportional to 287,664 and 625,521

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Solution

The third proportional to 287,664 and 625,521 is: 1,360,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,664 : 625,521 = 625,521 : x
  2. Step 2: Convert to fraction form
    287,664/625,521 = 625,521/x
  3. Step 3: Cross multiply
    287,664x = 625,521 × 625,521
  4. Step 4: Simplify right side
    287,664x = 391,276,521,441
  5. Step 5: Solve for x
    x = 391,276,521,441/287,664
  6. Step 6: Final answer
    x = 1,360,185.92

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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.