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Finding the Third Proportional to 319,569 and 696,342

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Solution

The third proportional to 319,569 and 696,342 is: 1,517,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,569 : 696,342 = 696,342 : x
  2. Step 2: Convert to fraction form
    319,569/696,342 = 696,342/x
  3. Step 3: Cross multiply
    319,569x = 696,342 × 696,342
  4. Step 4: Simplify right side
    319,569x = 484,892,180,964
  5. Step 5: Solve for x
    x = 484,892,180,964/319,569
  6. Step 6: Final answer
    x = 1,517,331.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.