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Finding the Third Proportional to 320,679 and 692,712

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Solution

The third proportional to 320,679 and 692,712 is: 1,496,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,679 : 692,712 = 692,712 : x
  2. Step 2: Convert to fraction form
    320,679/692,712 = 692,712/x
  3. Step 3: Cross multiply
    320,679x = 692,712 × 692,712
  4. Step 4: Simplify right side
    320,679x = 479,849,914,944
  5. Step 5: Solve for x
    x = 479,849,914,944/320,679
  6. Step 6: Final answer
    x = 1,496,355.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.