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Finding the Third Proportional to 77,410 and 128,115.50

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Solution

The third proportional to 77,410 and 128,115.50 is: 212,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410 : 128,115.50 = 128,115.50 : x
  2. Step 2: Convert to fraction form
    77,410/128,115.50 = 128,115.50/x
  3. Step 3: Cross multiply
    77,410x = 128,115.50 × 128,115.50
  4. Step 4: Simplify right side
    77,410x = 16,413,581,340.25
  5. Step 5: Solve for x
    x = 16,413,581,340.25/77,410
  6. Step 6: Final answer
    x = 212,034.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.