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Finding the Third Proportional to 316,346 and 658,938

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Solution

The third proportional to 316,346 and 658,938 is: 1,372,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,346 : 658,938 = 658,938 : x
  2. Step 2: Convert to fraction form
    316,346/658,938 = 658,938/x
  3. Step 3: Cross multiply
    316,346x = 658,938 × 658,938
  4. Step 4: Simplify right side
    316,346x = 434,199,287,844
  5. Step 5: Solve for x
    x = 434,199,287,844/316,346
  6. Step 6: Final answer
    x = 1,372,545.53

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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.