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Finding the Third Proportional to 42,560.25 and 64,433

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Solution

The third proportional to 42,560.25 and 64,433 is: 97,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,560.25 : 64,433 = 64,433 : x
  2. Step 2: Convert to fraction form
    42,560.25/64,433 = 64,433/x
  3. Step 3: Cross multiply
    42,560.25x = 64,433 × 64,433
  4. Step 4: Simplify right side
    42,560.25x = 4,151,611,489
  5. Step 5: Solve for x
    x = 4,151,611,489/42,560.25
  6. Step 6: Final answer
    x = 97,546.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.