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Finding the Third Proportional to 101,042,761.50 and 132,678,303.75

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Solution

The third proportional to 101,042,761.50 and 132,678,303.75 is: 174,218,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,042,761.50 : 132,678,303.75 = 132,678,303.75 : x
  2. Step 2: Convert to fraction form
    101,042,761.50/132,678,303.75 = 132,678,303.75/x
  3. Step 3: Cross multiply
    101,042,761.50x = 132,678,303.75 × 132,678,303.75
  4. Step 4: Simplify right side
    101,042,761.50x = 17,603,532,285,977,264
  5. Step 5: Solve for x
    x = 17,603,532,285,977,264/101,042,761.50
  6. Step 6: Final answer
    x = 174,218,637.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.