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Finding the Third Proportional to 315,982 and 658,216

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Solution

The third proportional to 315,982 and 658,216 is: 1,371,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,982 : 658,216 = 658,216 : x
  2. Step 2: Convert to fraction form
    315,982/658,216 = 658,216/x
  3. Step 3: Cross multiply
    315,982x = 658,216 × 658,216
  4. Step 4: Simplify right side
    315,982x = 433,248,302,656
  5. Step 5: Solve for x
    x = 433,248,302,656/315,982
  6. Step 6: Final answer
    x = 1,371,117.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.