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Finding the Third Proportional to 80,355 and 153,417

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Solution

The third proportional to 80,355 and 153,417 is: 292,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,355 : 153,417 = 153,417 : x
  2. Step 2: Convert to fraction form
    80,355/153,417 = 153,417/x
  3. Step 3: Cross multiply
    80,355x = 153,417 × 153,417
  4. Step 4: Simplify right side
    80,355x = 23,536,775,889
  5. Step 5: Solve for x
    x = 23,536,775,889/80,355
  6. Step 6: Final answer
    x = 292,909.91

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.