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Finding the Third Proportional to 85,123,129.50 and 177,039,948.38

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Solution

The third proportional to 85,123,129.50 and 177,039,948.38 is: 368,209,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123,129.50 : 177,039,948.38 = 177,039,948.38 : x
  2. Step 2: Convert to fraction form
    85,123,129.50/177,039,948.38 = 177,039,948.38/x
  3. Step 3: Cross multiply
    85,123,129.50x = 177,039,948.38 × 177,039,948.38
  4. Step 4: Simplify right side
    85,123,129.50x = 31,343,143,320,622,664
  5. Step 5: Solve for x
    x = 31,343,143,320,622,664/85,123,129.50
  6. Step 6: Final answer
    x = 368,209,480.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.