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Finding the Third Proportional to 320,722.88 and 688,827.38

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Solution

The third proportional to 320,722.88 and 688,827.38 is: 1,479,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,722.88 : 688,827.38 = 688,827.38 : x
  2. Step 2: Convert to fraction form
    320,722.88/688,827.38 = 688,827.38/x
  3. Step 3: Cross multiply
    320,722.88x = 688,827.38 × 688,827.38
  4. Step 4: Simplify right side
    320,722.88x = 474,483,152,549.39
  5. Step 5: Solve for x
    x = 474,483,152,549.39/320,722.88
  6. Step 6: Final answer
    x = 1,479,417.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.