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Finding the Third Proportional to 149,470 and 249,116

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Solution

The third proportional to 149,470 and 249,116 is: 415,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,470 : 249,116 = 249,116 : x
  2. Step 2: Convert to fraction form
    149,470/249,116 = 249,116/x
  3. Step 3: Cross multiply
    149,470x = 249,116 × 249,116
  4. Step 4: Simplify right side
    149,470x = 62,058,781,456
  5. Step 5: Solve for x
    x = 62,058,781,456/149,470
  6. Step 6: Final answer
    x = 415,192.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.