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Finding the Third Proportional to 389,420.50 and 589,327

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Solution

The third proportional to 389,420.50 and 589,327 is: 891,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,420.50 : 589,327 = 589,327 : x
  2. Step 2: Convert to fraction form
    389,420.50/589,327 = 589,327/x
  3. Step 3: Cross multiply
    389,420.50x = 589,327 × 589,327
  4. Step 4: Simplify right side
    389,420.50x = 347,306,312,929
  5. Step 5: Solve for x
    x = 347,306,312,929/389,420.50
  6. Step 6: Final answer
    x = 891,854.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.