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Finding the Third Proportional to 249,128 and 385,932

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Solution

The third proportional to 249,128 and 385,932 is: 597,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,128 : 385,932 = 385,932 : x
  2. Step 2: Convert to fraction form
    249,128/385,932 = 385,932/x
  3. Step 3: Cross multiply
    249,128x = 385,932 × 385,932
  4. Step 4: Simplify right side
    249,128x = 148,943,508,624
  5. Step 5: Solve for x
    x = 148,943,508,624/249,128
  6. Step 6: Final answer
    x = 597,859.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.