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Finding the Third Proportional to 115,331 and 249,617

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Solution

The third proportional to 115,331 and 249,617 is: 540,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,331 : 249,617 = 249,617 : x
  2. Step 2: Convert to fraction form
    115,331/249,617 = 249,617/x
  3. Step 3: Cross multiply
    115,331x = 249,617 × 249,617
  4. Step 4: Simplify right side
    115,331x = 62,308,646,689
  5. Step 5: Solve for x
    x = 62,308,646,689/115,331
  6. Step 6: Final answer
    x = 540,259.31

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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.