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Finding the Third Proportional to 147,123 and 207,177.75

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Solution

The third proportional to 147,123 and 207,177.75 is: 291,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,123 : 207,177.75 = 207,177.75 : x
  2. Step 2: Convert to fraction form
    147,123/207,177.75 = 207,177.75/x
  3. Step 3: Cross multiply
    147,123x = 207,177.75 × 207,177.75
  4. Step 4: Simplify right side
    147,123x = 42,922,620,095.06
  5. Step 5: Solve for x
    x = 42,922,620,095.06/147,123
  6. Step 6: Final answer
    x = 291,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.