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Finding the Third Proportional to 249,342 and 545,421

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Solution

The third proportional to 249,342 and 545,421 is: 1,193,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,342 : 545,421 = 545,421 : x
  2. Step 2: Convert to fraction form
    249,342/545,421 = 545,421/x
  3. Step 3: Cross multiply
    249,342x = 545,421 × 545,421
  4. Step 4: Simplify right side
    249,342x = 297,484,067,241
  5. Step 5: Solve for x
    x = 297,484,067,241/249,342
  6. Step 6: Final answer
    x = 1,193,076.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.