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Finding the Third Proportional to 387,091.50 and 569,251.50

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Solution

The third proportional to 387,091.50 and 569,251.50 is: 837,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,091.50 : 569,251.50 = 569,251.50 : x
  2. Step 2: Convert to fraction form
    387,091.50/569,251.50 = 569,251.50/x
  3. Step 3: Cross multiply
    387,091.50x = 569,251.50 × 569,251.50
  4. Step 4: Simplify right side
    387,091.50x = 324,047,270,252.25
  5. Step 5: Solve for x
    x = 324,047,270,252.25/387,091.50
  6. Step 6: Final answer
    x = 837,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.