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Finding the Third Proportional to 249,792 and 380,908

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Solution

The third proportional to 249,792 and 380,908 is: 580,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,792 : 380,908 = 380,908 : x
  2. Step 2: Convert to fraction form
    249,792/380,908 = 380,908/x
  3. Step 3: Cross multiply
    249,792x = 380,908 × 380,908
  4. Step 4: Simplify right side
    249,792x = 145,090,904,464
  5. Step 5: Solve for x
    x = 145,090,904,464/249,792
  6. Step 6: Final answer
    x = 580,846.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.