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Finding the Third Proportional to 77,074.31 and 168,155.02

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Solution

The third proportional to 77,074.31 and 168,155.02 is: 366,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.31 : 168,155.02 = 168,155.02 : x
  2. Step 2: Convert to fraction form
    77,074.31/168,155.02 = 168,155.02/x
  3. Step 3: Cross multiply
    77,074.31x = 168,155.02 × 168,155.02
  4. Step 4: Simplify right side
    77,074.31x = 28,276,109,279.84
  5. Step 5: Solve for x
    x = 28,276,109,279.84/77,074.31
  6. Step 6: Final answer
    x = 366,868.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.