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Finding the Third Proportional to 154,306 and 240,480

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Solution

The third proportional to 154,306 and 240,480 is: 374,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,306 : 240,480 = 240,480 : x
  2. Step 2: Convert to fraction form
    154,306/240,480 = 240,480/x
  3. Step 3: Cross multiply
    154,306x = 240,480 × 240,480
  4. Step 4: Simplify right side
    154,306x = 57,830,630,400
  5. Step 5: Solve for x
    x = 57,830,630,400/154,306
  6. Step 6: Final answer
    x = 374,778.88

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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.