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Finding the Third Proportional to 99,316 and 138,924

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Solution

The third proportional to 99,316 and 138,924 is: 194,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,316 : 138,924 = 138,924 : x
  2. Step 2: Convert to fraction form
    99,316/138,924 = 138,924/x
  3. Step 3: Cross multiply
    99,316x = 138,924 × 138,924
  4. Step 4: Simplify right side
    99,316x = 19,299,877,776
  5. Step 5: Solve for x
    x = 19,299,877,776/99,316
  6. Step 6: Final answer
    x = 194,327.98

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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.