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Finding the Third Proportional to 99,312 and 138,918

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Solution

The third proportional to 99,312 and 138,918 is: 194,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312 : 138,918 = 138,918 : x
  2. Step 2: Convert to fraction form
    99,312/138,918 = 138,918/x
  3. Step 3: Cross multiply
    99,312x = 138,918 × 138,918
  4. Step 4: Simplify right side
    99,312x = 19,298,210,724
  5. Step 5: Solve for x
    x = 19,298,210,724/99,312
  6. Step 6: Final answer
    x = 194,319.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.