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Finding the Third Proportional to 57,905,409 and 127,287,117

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Solution

The third proportional to 57,905,409 and 127,287,117 is: 279,801,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,905,409 : 127,287,117 = 127,287,117 : x
  2. Step 2: Convert to fraction form
    57,905,409/127,287,117 = 127,287,117/x
  3. Step 3: Cross multiply
    57,905,409x = 127,287,117 × 127,287,117
  4. Step 4: Simplify right side
    57,905,409x = 16,202,010,154,171,688
  5. Step 5: Solve for x
    x = 16,202,010,154,171,688/57,905,409
  6. Step 6: Final answer
    x = 279,801,324.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.