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Finding the Third Proportional to 280,625 and 427,941.50

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Solution

The third proportional to 280,625 and 427,941.50 is: 652,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,625 : 427,941.50 = 427,941.50 : x
  2. Step 2: Convert to fraction form
    280,625/427,941.50 = 427,941.50/x
  3. Step 3: Cross multiply
    280,625x = 427,941.50 × 427,941.50
  4. Step 4: Simplify right side
    280,625x = 183,133,927,422.25
  5. Step 5: Solve for x
    x = 183,133,927,422.25/280,625
  6. Step 6: Final answer
    x = 652,593.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.