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Finding the Third Proportional to 317,330 and 691,492

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Solution

The third proportional to 317,330 and 691,492 is: 1,506,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,330 : 691,492 = 691,492 : x
  2. Step 2: Convert to fraction form
    317,330/691,492 = 691,492/x
  3. Step 3: Cross multiply
    317,330x = 691,492 × 691,492
  4. Step 4: Simplify right side
    317,330x = 478,161,186,064
  5. Step 5: Solve for x
    x = 478,161,186,064/317,330
  6. Step 6: Final answer
    x = 1,506,826.29

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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.