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Finding the Third Proportional to 320,972 and 695,464

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Solution

The third proportional to 320,972 and 695,464 is: 1,506,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,972 : 695,464 = 695,464 : x
  2. Step 2: Convert to fraction form
    320,972/695,464 = 695,464/x
  3. Step 3: Cross multiply
    320,972x = 695,464 × 695,464
  4. Step 4: Simplify right side
    320,972x = 483,670,175,296
  5. Step 5: Solve for x
    x = 483,670,175,296/320,972
  6. Step 6: Final answer
    x = 1,506,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.