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Finding the Third Proportional to 42,945 and 64,888.50

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Solution

The third proportional to 42,945 and 64,888.50 is: 98,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945 : 64,888.50 = 64,888.50 : x
  2. Step 2: Convert to fraction form
    42,945/64,888.50 = 64,888.50/x
  3. Step 3: Cross multiply
    42,945x = 64,888.50 × 64,888.50
  4. Step 4: Simplify right side
    42,945x = 4,210,517,432.25
  5. Step 5: Solve for x
    x = 4,210,517,432.25/42,945
  6. Step 6: Final answer
    x = 98,044.42

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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.