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Finding the Third Proportional to 137,470 and 291,221

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Solution

The third proportional to 137,470 and 291,221 is: 616,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,470 : 291,221 = 291,221 : x
  2. Step 2: Convert to fraction form
    137,470/291,221 = 291,221/x
  3. Step 3: Cross multiply
    137,470x = 291,221 × 291,221
  4. Step 4: Simplify right side
    137,470x = 84,809,670,841
  5. Step 5: Solve for x
    x = 84,809,670,841/137,470
  6. Step 6: Final answer
    x = 616,932.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.