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Finding the Third Proportional to 268,459 and 375,521

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Solution

The third proportional to 268,459 and 375,521 is: 525,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,459 : 375,521 = 375,521 : x
  2. Step 2: Convert to fraction form
    268,459/375,521 = 375,521/x
  3. Step 3: Cross multiply
    268,459x = 375,521 × 375,521
  4. Step 4: Simplify right side
    268,459x = 141,016,021,441
  5. Step 5: Solve for x
    x = 141,016,021,441/268,459
  6. Step 6: Final answer
    x = 525,279.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.