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Finding the Third Proportional to 348,288 and 711,338

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Solution

The third proportional to 348,288 and 711,338 is: 1,452,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,288 : 711,338 = 711,338 : x
  2. Step 2: Convert to fraction form
    348,288/711,338 = 711,338/x
  3. Step 3: Cross multiply
    348,288x = 711,338 × 711,338
  4. Step 4: Simplify right side
    348,288x = 506,001,750,244
  5. Step 5: Solve for x
    x = 506,001,750,244/348,288
  6. Step 6: Final answer
    x = 1,452,825.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.