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Finding the Third Proportional to 272,440 and 425,220

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Solution

The third proportional to 272,440 and 425,220 is: 663,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,440 : 425,220 = 425,220 : x
  2. Step 2: Convert to fraction form
    272,440/425,220 = 425,220/x
  3. Step 3: Cross multiply
    272,440x = 425,220 × 425,220
  4. Step 4: Simplify right side
    272,440x = 180,812,048,400
  5. Step 5: Solve for x
    x = 180,812,048,400/272,440
  6. Step 6: Final answer
    x = 663,676.58

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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.