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Finding the Third Proportional to 201,480 and 282,432

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Solution

The third proportional to 201,480 and 282,432 is: 395,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,480 : 282,432 = 282,432 : x
  2. Step 2: Convert to fraction form
    201,480/282,432 = 282,432/x
  3. Step 3: Cross multiply
    201,480x = 282,432 × 282,432
  4. Step 4: Simplify right side
    201,480x = 79,767,834,624
  5. Step 5: Solve for x
    x = 79,767,834,624/201,480
  6. Step 6: Final answer
    x = 395,909.44

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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.