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Finding the Third Proportional to 35,464,132.50 and 76,586,601

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Solution

The third proportional to 35,464,132.50 and 76,586,601 is: 165,392,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464,132.50 : 76,586,601 = 76,586,601 : x
  2. Step 2: Convert to fraction form
    35,464,132.50/76,586,601 = 76,586,601/x
  3. Step 3: Cross multiply
    35,464,132.50x = 76,586,601 × 76,586,601
  4. Step 4: Simplify right side
    35,464,132.50x = 5,865,507,452,733,201
  5. Step 5: Solve for x
    x = 5,865,507,452,733,201/35,464,132.50
  6. Step 6: Final answer
    x = 165,392,666.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.