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Finding the Third Proportional to 249,381 and 538,128

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Solution

The third proportional to 249,381 and 538,128 is: 1,161,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,381 : 538,128 = 538,128 : x
  2. Step 2: Convert to fraction form
    249,381/538,128 = 538,128/x
  3. Step 3: Cross multiply
    249,381x = 538,128 × 538,128
  4. Step 4: Simplify right side
    249,381x = 289,581,744,384
  5. Step 5: Solve for x
    x = 289,581,744,384/249,381
  6. Step 6: Final answer
    x = 1,161,202.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.