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Finding the Third Proportional to 249,432 and 380,375

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Solution

The third proportional to 249,432 and 380,375 is: 580,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,432 : 380,375 = 380,375 : x
  2. Step 2: Convert to fraction form
    249,432/380,375 = 380,375/x
  3. Step 3: Cross multiply
    249,432x = 380,375 × 380,375
  4. Step 4: Simplify right side
    249,432x = 144,685,140,625
  5. Step 5: Solve for x
    x = 144,685,140,625/249,432
  6. Step 6: Final answer
    x = 580,058.46

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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.