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Finding the Third Proportional to 157,091 and 249,716

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Solution

The third proportional to 157,091 and 249,716 is: 396,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091 : 249,716 = 249,716 : x
  2. Step 2: Convert to fraction form
    157,091/249,716 = 249,716/x
  3. Step 3: Cross multiply
    157,091x = 249,716 × 249,716
  4. Step 4: Simplify right side
    157,091x = 62,358,080,656
  5. Step 5: Solve for x
    x = 62,358,080,656/157,091
  6. Step 6: Final answer
    x = 396,955.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.