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Finding the Third Proportional to 623,712 and 815,622

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Solution

The third proportional to 623,712 and 815,622 is: 1,066,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,712 : 815,622 = 815,622 : x
  2. Step 2: Convert to fraction form
    623,712/815,622 = 815,622/x
  3. Step 3: Cross multiply
    623,712x = 815,622 × 815,622
  4. Step 4: Simplify right side
    623,712x = 665,239,246,884
  5. Step 5: Solve for x
    x = 665,239,246,884/623,712
  6. Step 6: Final answer
    x = 1,066,580.80

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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.