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Finding the Third Proportional to 317,190 and 697,468

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Solution

The third proportional to 317,190 and 697,468 is: 1,533,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,190 : 697,468 = 697,468 : x
  2. Step 2: Convert to fraction form
    317,190/697,468 = 697,468/x
  3. Step 3: Cross multiply
    317,190x = 697,468 × 697,468
  4. Step 4: Simplify right side
    317,190x = 486,461,611,024
  5. Step 5: Solve for x
    x = 486,461,611,024/317,190
  6. Step 6: Final answer
    x = 1,533,659.99

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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.