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Finding the Third Proportional to 321,975 and 495,112.50

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Solution

The third proportional to 321,975 and 495,112.50 is: 761,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,975 : 495,112.50 = 495,112.50 : x
  2. Step 2: Convert to fraction form
    321,975/495,112.50 = 495,112.50/x
  3. Step 3: Cross multiply
    321,975x = 495,112.50 × 495,112.50
  4. Step 4: Simplify right side
    321,975x = 245,136,387,656.25
  5. Step 5: Solve for x
    x = 245,136,387,656.25/321,975
  6. Step 6: Final answer
    x = 761,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.