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Finding the Third Proportional to 115,644 and 249,864

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Solution

The third proportional to 115,644 and 249,864 is: 539,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,644 : 249,864 = 249,864 : x
  2. Step 2: Convert to fraction form
    115,644/249,864 = 249,864/x
  3. Step 3: Cross multiply
    115,644x = 249,864 × 249,864
  4. Step 4: Simplify right side
    115,644x = 62,432,018,496
  5. Step 5: Solve for x
    x = 62,432,018,496/115,644
  6. Step 6: Final answer
    x = 539,863.88

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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.