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Finding the Third Proportional to 42,480 and 67,486.50

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Solution

The third proportional to 42,480 and 67,486.50 is: 107,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480 : 67,486.50 = 67,486.50 : x
  2. Step 2: Convert to fraction form
    42,480/67,486.50 = 67,486.50/x
  3. Step 3: Cross multiply
    42,480x = 67,486.50 × 67,486.50
  4. Step 4: Simplify right side
    42,480x = 4,554,427,682.25
  5. Step 5: Solve for x
    x = 4,554,427,682.25/42,480
  6. Step 6: Final answer
    x = 107,213.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.