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Finding the Third Proportional to 91,212 and 145,689

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Solution

The third proportional to 91,212 and 145,689 is: 232,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,212 : 145,689 = 145,689 : x
  2. Step 2: Convert to fraction form
    91,212/145,689 = 145,689/x
  3. Step 3: Cross multiply
    91,212x = 145,689 × 145,689
  4. Step 4: Simplify right side
    91,212x = 21,225,284,721
  5. Step 5: Solve for x
    x = 21,225,284,721/91,212
  6. Step 6: Final answer
    x = 232,702.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.