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Finding the Third Proportional to 42,561,410 and 66,037,791

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Solution

The third proportional to 42,561,410 and 66,037,791 is: 102,463,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561,410 : 66,037,791 = 66,037,791 : x
  2. Step 2: Convert to fraction form
    42,561,410/66,037,791 = 66,037,791/x
  3. Step 3: Cross multiply
    42,561,410x = 66,037,791 × 66,037,791
  4. Step 4: Simplify right side
    42,561,410x = 4,360,989,840,159,681
  5. Step 5: Solve for x
    x = 4,360,989,840,159,681/42,561,410
  6. Step 6: Final answer
    x = 102,463,471.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.