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Finding the Third Proportional to 67,840 and 99,798

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Solution

The third proportional to 67,840 and 99,798 is: 146,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840 : 99,798 = 99,798 : x
  2. Step 2: Convert to fraction form
    67,840/99,798 = 99,798/x
  3. Step 3: Cross multiply
    67,840x = 99,798 × 99,798
  4. Step 4: Simplify right side
    67,840x = 9,959,640,804
  5. Step 5: Solve for x
    x = 9,959,640,804/67,840
  6. Step 6: Final answer
    x = 146,810.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.