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Finding the Third Proportional to 519,331.50 and 821,637

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Solution

The third proportional to 519,331.50 and 821,637 is: 1,299,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,331.50 : 821,637 = 821,637 : x
  2. Step 2: Convert to fraction form
    519,331.50/821,637 = 821,637/x
  3. Step 3: Cross multiply
    519,331.50x = 821,637 × 821,637
  4. Step 4: Simplify right side
    519,331.50x = 675,087,359,769
  5. Step 5: Solve for x
    x = 675,087,359,769/519,331.50
  6. Step 6: Final answer
    x = 1,299,916.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.