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Finding the Third Proportional to 67,998 and 99,985

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Solution

The third proportional to 67,998 and 99,985 is: 147,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,998 : 99,985 = 99,985 : x
  2. Step 2: Convert to fraction form
    67,998/99,985 = 99,985/x
  3. Step 3: Cross multiply
    67,998x = 99,985 × 99,985
  4. Step 4: Simplify right side
    67,998x = 9,997,000,225
  5. Step 5: Solve for x
    x = 9,997,000,225/67,998
  6. Step 6: Final answer
    x = 147,019.03

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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.