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Finding the Third Proportional to 42,859 and 64,246

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Solution

The third proportional to 42,859 and 64,246 is: 96,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859 : 64,246 = 64,246 : x
  2. Step 2: Convert to fraction form
    42,859/64,246 = 64,246/x
  3. Step 3: Cross multiply
    42,859x = 64,246 × 64,246
  4. Step 4: Simplify right side
    42,859x = 4,127,548,516
  5. Step 5: Solve for x
    x = 4,127,548,516/42,859
  6. Step 6: Final answer
    x = 96,305.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.