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Finding the Third Proportional to 239,376 and 310,584

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Solution

The third proportional to 239,376 and 310,584 is: 402,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,376 : 310,584 = 310,584 : x
  2. Step 2: Convert to fraction form
    239,376/310,584 = 310,584/x
  3. Step 3: Cross multiply
    239,376x = 310,584 × 310,584
  4. Step 4: Simplify right side
    239,376x = 96,462,421,056
  5. Step 5: Solve for x
    x = 96,462,421,056/239,376
  6. Step 6: Final answer
    x = 402,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.