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Finding the Third Proportional to 329,690 and 711,940

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Solution

The third proportional to 329,690 and 711,940 is: 1,537,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,690 : 711,940 = 711,940 : x
  2. Step 2: Convert to fraction form
    329,690/711,940 = 711,940/x
  3. Step 3: Cross multiply
    329,690x = 711,940 × 711,940
  4. Step 4: Simplify right side
    329,690x = 506,858,563,600
  5. Step 5: Solve for x
    x = 506,858,563,600/329,690
  6. Step 6: Final answer
    x = 1,537,379.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.