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Finding the Third Proportional to 317,964 and 698,616

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Solution

The third proportional to 317,964 and 698,616 is: 1,534,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,964 : 698,616 = 698,616 : x
  2. Step 2: Convert to fraction form
    317,964/698,616 = 698,616/x
  3. Step 3: Cross multiply
    317,964x = 698,616 × 698,616
  4. Step 4: Simplify right side
    317,964x = 488,064,315,456
  5. Step 5: Solve for x
    x = 488,064,315,456/317,964
  6. Step 6: Final answer
    x = 1,534,967.21

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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.