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Finding the Third Proportional to 169,406 and 249,415

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Solution

The third proportional to 169,406 and 249,415 is: 367,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,406 : 249,415 = 249,415 : x
  2. Step 2: Convert to fraction form
    169,406/249,415 = 249,415/x
  3. Step 3: Cross multiply
    169,406x = 249,415 × 249,415
  4. Step 4: Simplify right side
    169,406x = 62,207,842,225
  5. Step 5: Solve for x
    x = 62,207,842,225/169,406
  6. Step 6: Final answer
    x = 367,211.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.