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Finding the Third Proportional to 180,507 and 280,632

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Solution

The third proportional to 180,507 and 280,632 is: 436,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,507 : 280,632 = 280,632 : x
  2. Step 2: Convert to fraction form
    180,507/280,632 = 280,632/x
  3. Step 3: Cross multiply
    180,507x = 280,632 × 280,632
  4. Step 4: Simplify right side
    180,507x = 78,754,319,424
  5. Step 5: Solve for x
    x = 78,754,319,424/180,507
  6. Step 6: Final answer
    x = 436,295.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.