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Finding the Third Proportional to 157,221 and 245,170.13

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Solution

The third proportional to 157,221 and 245,170.13 is: 382,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,221 : 245,170.13 = 245,170.13 : x
  2. Step 2: Convert to fraction form
    157,221/245,170.13 = 245,170.13/x
  3. Step 3: Cross multiply
    157,221x = 245,170.13 × 245,170.13
  4. Step 4: Simplify right side
    157,221x = 60,108,390,192.52
  5. Step 5: Solve for x
    x = 60,108,390,192.52/157,221
  6. Step 6: Final answer
    x = 382,317.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.