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Finding the Third Proportional to 154,304 and 240,478

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Solution

The third proportional to 154,304 and 240,478 is: 374,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,304 : 240,478 = 240,478 : x
  2. Step 2: Convert to fraction form
    154,304/240,478 = 240,478/x
  3. Step 3: Cross multiply
    154,304x = 240,478 × 240,478
  4. Step 4: Simplify right side
    154,304x = 57,829,668,484
  5. Step 5: Solve for x
    x = 57,829,668,484/154,304
  6. Step 6: Final answer
    x = 374,777.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.