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Finding the Third Proportional to 515,871 and 688,012

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Solution

The third proportional to 515,871 and 688,012 is: 917,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,871 : 688,012 = 688,012 : x
  2. Step 2: Convert to fraction form
    515,871/688,012 = 688,012/x
  3. Step 3: Cross multiply
    515,871x = 688,012 × 688,012
  4. Step 4: Simplify right side
    515,871x = 473,360,512,144
  5. Step 5: Solve for x
    x = 473,360,512,144/515,871
  6. Step 6: Final answer
    x = 917,594.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.