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Finding the Third Proportional to 115,899 and 249,129

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Solution

The third proportional to 115,899 and 249,129 is: 535,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,899 : 249,129 = 249,129 : x
  2. Step 2: Convert to fraction form
    115,899/249,129 = 249,129/x
  3. Step 3: Cross multiply
    115,899x = 249,129 × 249,129
  4. Step 4: Simplify right side
    115,899x = 62,065,258,641
  5. Step 5: Solve for x
    x = 62,065,258,641/115,899
  6. Step 6: Final answer
    x = 535,511.60

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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.