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Finding the Third Proportional to 112,432 and 239,428

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Solution

The third proportional to 112,432 and 239,428 is: 509,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,432 : 239,428 = 239,428 : x
  2. Step 2: Convert to fraction form
    112,432/239,428 = 239,428/x
  3. Step 3: Cross multiply
    112,432x = 239,428 × 239,428
  4. Step 4: Simplify right side
    112,432x = 57,325,767,184
  5. Step 5: Solve for x
    x = 57,325,767,184/112,432
  6. Step 6: Final answer
    x = 509,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.