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Finding the Third Proportional to 91,346 and 136,646.50

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Solution

The third proportional to 91,346 and 136,646.50 is: 204,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,346 : 136,646.50 = 136,646.50 : x
  2. Step 2: Convert to fraction form
    91,346/136,646.50 = 136,646.50/x
  3. Step 3: Cross multiply
    91,346x = 136,646.50 × 136,646.50
  4. Step 4: Simplify right side
    91,346x = 18,672,265,962.25
  5. Step 5: Solve for x
    x = 18,672,265,962.25/91,346
  6. Step 6: Final answer
    x = 204,412.52

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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.