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Finding the Third Proportional to 155,695.61 and 209,208.76

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Solution

The third proportional to 155,695.61 and 209,208.76 is: 281,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,695.61 : 209,208.76 = 209,208.76 : x
  2. Step 2: Convert to fraction form
    155,695.61/209,208.76 = 209,208.76/x
  3. Step 3: Cross multiply
    155,695.61x = 209,208.76 × 209,208.76
  4. Step 4: Simplify right side
    155,695.61x = 43,768,305,979.89
  5. Step 5: Solve for x
    x = 43,768,305,979.89/155,695.61
  6. Step 6: Final answer
    x = 281,114.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.