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Finding the Third Proportional to 272,200.50 and 425,398.50

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Solution

The third proportional to 272,200.50 and 425,398.50 is: 664,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.50 : 425,398.50 = 425,398.50 : x
  2. Step 2: Convert to fraction form
    272,200.50/425,398.50 = 425,398.50/x
  3. Step 3: Cross multiply
    272,200.50x = 425,398.50 × 425,398.50
  4. Step 4: Simplify right side
    272,200.50x = 180,963,883,802.25
  5. Step 5: Solve for x
    x = 180,963,883,802.25/272,200.50
  6. Step 6: Final answer
    x = 664,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.