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Finding the Third Proportional to 115,196 and 249,680

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Solution

The third proportional to 115,196 and 249,680 is: 541,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,196 : 249,680 = 249,680 : x
  2. Step 2: Convert to fraction form
    115,196/249,680 = 249,680/x
  3. Step 3: Cross multiply
    115,196x = 249,680 × 249,680
  4. Step 4: Simplify right side
    115,196x = 62,340,102,400
  5. Step 5: Solve for x
    x = 62,340,102,400/115,196
  6. Step 6: Final answer
    x = 541,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.