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Finding the Third Proportional to 109,480 and 239,282

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Solution

The third proportional to 109,480 and 239,282 is: 522,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480 : 239,282 = 239,282 : x
  2. Step 2: Convert to fraction form
    109,480/239,282 = 239,282/x
  3. Step 3: Cross multiply
    109,480x = 239,282 × 239,282
  4. Step 4: Simplify right side
    109,480x = 57,255,875,524
  5. Step 5: Solve for x
    x = 57,255,875,524/109,480
  6. Step 6: Final answer
    x = 522,980.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.