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Finding the Third Proportional to 587,712 and 872,928

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Solution

The third proportional to 587,712 and 872,928 is: 1,296,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,712 : 872,928 = 872,928 : x
  2. Step 2: Convert to fraction form
    587,712/872,928 = 872,928/x
  3. Step 3: Cross multiply
    587,712x = 872,928 × 872,928
  4. Step 4: Simplify right side
    587,712x = 762,003,293,184
  5. Step 5: Solve for x
    x = 762,003,293,184/587,712
  6. Step 6: Final answer
    x = 1,296,559.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.