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Finding the Third Proportional to 159,220 and 349,076

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Solution

The third proportional to 159,220 and 349,076 is: 765,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,220 : 349,076 = 349,076 : x
  2. Step 2: Convert to fraction form
    159,220/349,076 = 349,076/x
  3. Step 3: Cross multiply
    159,220x = 349,076 × 349,076
  4. Step 4: Simplify right side
    159,220x = 121,854,053,776
  5. Step 5: Solve for x
    x = 121,854,053,776/159,220
  6. Step 6: Final answer
    x = 765,318.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.