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Finding the Third Proportional to 393,607 and 815,220

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Solution

The third proportional to 393,607 and 815,220 is: 1,688,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,607 : 815,220 = 815,220 : x
  2. Step 2: Convert to fraction form
    393,607/815,220 = 815,220/x
  3. Step 3: Cross multiply
    393,607x = 815,220 × 815,220
  4. Step 4: Simplify right side
    393,607x = 664,583,648,400
  5. Step 5: Solve for x
    x = 664,583,648,400/393,607
  6. Step 6: Final answer
    x = 1,688,444.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.