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Finding the Third Proportional to 320,772 and 692,385

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Solution

The third proportional to 320,772 and 692,385 is: 1,494,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,772 : 692,385 = 692,385 : x
  2. Step 2: Convert to fraction form
    320,772/692,385 = 692,385/x
  3. Step 3: Cross multiply
    320,772x = 692,385 × 692,385
  4. Step 4: Simplify right side
    320,772x = 479,396,988,225
  5. Step 5: Solve for x
    x = 479,396,988,225/320,772
  6. Step 6: Final answer
    x = 1,494,510.08

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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.