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Finding the Third Proportional to 272,430 and 425,202

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Solution

The third proportional to 272,430 and 425,202 is: 663,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430 : 425,202 = 425,202 : x
  2. Step 2: Convert to fraction form
    272,430/425,202 = 425,202/x
  3. Step 3: Cross multiply
    272,430x = 425,202 × 425,202
  4. Step 4: Simplify right side
    272,430x = 180,796,740,804
  5. Step 5: Solve for x
    x = 180,796,740,804/272,430
  6. Step 6: Final answer
    x = 663,644.76

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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.