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Finding the Third Proportional to 317,968 and 698,624

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Solution

The third proportional to 317,968 and 698,624 is: 1,534,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,968 : 698,624 = 698,624 : x
  2. Step 2: Convert to fraction form
    317,968/698,624 = 698,624/x
  3. Step 3: Cross multiply
    317,968x = 698,624 × 698,624
  4. Step 4: Simplify right side
    317,968x = 488,075,493,376
  5. Step 5: Solve for x
    x = 488,075,493,376/317,968
  6. Step 6: Final answer
    x = 1,534,983.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.