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Finding the Third Proportional to 621,712 and 988,616

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Solution

The third proportional to 621,712 and 988,616 is: 1,572,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,712 : 988,616 = 988,616 : x
  2. Step 2: Convert to fraction form
    621,712/988,616 = 988,616/x
  3. Step 3: Cross multiply
    621,712x = 988,616 × 988,616
  4. Step 4: Simplify right side
    621,712x = 977,361,595,456
  5. Step 5: Solve for x
    x = 977,361,595,456/621,712
  6. Step 6: Final answer
    x = 1,572,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.