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Finding the Third Proportional to 420,216 and 642,609

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Solution

The third proportional to 420,216 and 642,609 is: 982,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,216 : 642,609 = 642,609 : x
  2. Step 2: Convert to fraction form
    420,216/642,609 = 642,609/x
  3. Step 3: Cross multiply
    420,216x = 642,609 × 642,609
  4. Step 4: Simplify right side
    420,216x = 412,946,326,881
  5. Step 5: Solve for x
    x = 412,946,326,881/420,216
  6. Step 6: Final answer
    x = 982,700.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.