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Finding the Third Proportional to 115,904 and 249,140

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Solution

The third proportional to 115,904 and 249,140 is: 535,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904 : 249,140 = 249,140 : x
  2. Step 2: Convert to fraction form
    115,904/249,140 = 249,140/x
  3. Step 3: Cross multiply
    115,904x = 249,140 × 249,140
  4. Step 4: Simplify right side
    115,904x = 62,070,739,600
  5. Step 5: Solve for x
    x = 62,070,739,600/115,904
  6. Step 6: Final answer
    x = 535,535.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.