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Finding the Third Proportional to 91,678 and 145,877.63

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Solution

The third proportional to 91,678 and 145,877.63 is: 232,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,678 : 145,877.63 = 145,877.63 : x
  2. Step 2: Convert to fraction form
    91,678/145,877.63 = 145,877.63/x
  3. Step 3: Cross multiply
    91,678x = 145,877.63 × 145,877.63
  4. Step 4: Simplify right side
    91,678x = 21,280,281,475.64
  5. Step 5: Solve for x
    x = 21,280,281,475.64/91,678
  6. Step 6: Final answer
    x = 232,119.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.