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Finding the Third Proportional to 31,410,288 and 66,442,140

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Solution

The third proportional to 31,410,288 and 66,442,140 is: 140,544,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410,288 : 66,442,140 = 66,442,140 : x
  2. Step 2: Convert to fraction form
    31,410,288/66,442,140 = 66,442,140/x
  3. Step 3: Cross multiply
    31,410,288x = 66,442,140 × 66,442,140
  4. Step 4: Simplify right side
    31,410,288x = 4,414,557,967,779,600
  5. Step 5: Solve for x
    x = 4,414,557,967,779,600/31,410,288
  6. Step 6: Final answer
    x = 140,544,969.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.