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Finding the Third Proportional to 4,123,128 and 6,420,180

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Solution

The third proportional to 4,123,128 and 6,420,180 is: 9,996,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,128 : 6,420,180 = 6,420,180 : x
  2. Step 2: Convert to fraction form
    4,123,128/6,420,180 = 6,420,180/x
  3. Step 3: Cross multiply
    4,123,128x = 6,420,180 × 6,420,180
  4. Step 4: Simplify right side
    4,123,128x = 41,218,711,232,400
  5. Step 5: Solve for x
    x = 41,218,711,232,400/4,123,128
  6. Step 6: Final answer
    x = 9,996,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.