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Finding the Third Proportional to 389,056.50 and 581,114.25

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Solution

The third proportional to 389,056.50 and 581,114.25 is: 867,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,056.50 : 581,114.25 = 581,114.25 : x
  2. Step 2: Convert to fraction form
    389,056.50/581,114.25 = 581,114.25/x
  3. Step 3: Cross multiply
    389,056.50x = 581,114.25 × 581,114.25
  4. Step 4: Simplify right side
    389,056.50x = 337,693,771,553.06
  5. Step 5: Solve for x
    x = 337,693,771,553.06/389,056.50
  6. Step 6: Final answer
    x = 867,981.31

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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.