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Finding the Third Proportional to 317,306 and 691,420

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Solution

The third proportional to 317,306 and 691,420 is: 1,506,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,306 : 691,420 = 691,420 : x
  2. Step 2: Convert to fraction form
    317,306/691,420 = 691,420/x
  3. Step 3: Cross multiply
    317,306x = 691,420 × 691,420
  4. Step 4: Simplify right side
    317,306x = 478,061,616,400
  5. Step 5: Solve for x
    x = 478,061,616,400/317,306
  6. Step 6: Final answer
    x = 1,506,626.46

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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.