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Finding the Third Proportional to 42,912 and 88,807.50

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Solution

The third proportional to 42,912 and 88,807.50 is: 183,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912 : 88,807.50 = 88,807.50 : x
  2. Step 2: Convert to fraction form
    42,912/88,807.50 = 88,807.50/x
  3. Step 3: Cross multiply
    42,912x = 88,807.50 × 88,807.50
  4. Step 4: Simplify right side
    42,912x = 7,886,772,056.25
  5. Step 5: Solve for x
    x = 7,886,772,056.25/42,912
  6. Step 6: Final answer
    x = 183,789.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.