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Finding the Third Proportional to 313,280 and 696,320

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Solution

The third proportional to 313,280 and 696,320 is: 1,547,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,280 : 696,320 = 696,320 : x
  2. Step 2: Convert to fraction form
    313,280/696,320 = 696,320/x
  3. Step 3: Cross multiply
    313,280x = 696,320 × 696,320
  4. Step 4: Simplify right side
    313,280x = 484,861,542,400
  5. Step 5: Solve for x
    x = 484,861,542,400/313,280
  6. Step 6: Final answer
    x = 1,547,693.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.