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Finding the Third Proportional to 623,738 and 815,660

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Solution

The third proportional to 623,738 and 815,660 is: 1,066,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,738 : 815,660 = 815,660 : x
  2. Step 2: Convert to fraction form
    623,738/815,660 = 815,660/x
  3. Step 3: Cross multiply
    623,738x = 815,660 × 815,660
  4. Step 4: Simplify right side
    623,738x = 665,301,235,600
  5. Step 5: Solve for x
    x = 665,301,235,600/623,738
  6. Step 6: Final answer
    x = 1,066,635.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.