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Finding the Third Proportional to 192,480 and 463,702.50

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Solution

The third proportional to 192,480 and 463,702.50 is: 1,117,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,480 : 463,702.50 = 463,702.50 : x
  2. Step 2: Convert to fraction form
    192,480/463,702.50 = 463,702.50/x
  3. Step 3: Cross multiply
    192,480x = 463,702.50 × 463,702.50
  4. Step 4: Simplify right side
    192,480x = 215,020,008,506.25
  5. Step 5: Solve for x
    x = 215,020,008,506.25/192,480
  6. Step 6: Final answer
    x = 1,117,103.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.