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Finding the Third Proportional to 249,423 and 538,782

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Solution

The third proportional to 249,423 and 538,782 is: 1,163,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,423 : 538,782 = 538,782 : x
  2. Step 2: Convert to fraction form
    249,423/538,782 = 538,782/x
  3. Step 3: Cross multiply
    249,423x = 538,782 × 538,782
  4. Step 4: Simplify right side
    249,423x = 290,286,043,524
  5. Step 5: Solve for x
    x = 290,286,043,524/249,423
  6. Step 6: Final answer
    x = 1,163,830.29

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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.