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Finding the Third Proportional to 387,780.75 and 558,518.63

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Solution

The third proportional to 387,780.75 and 558,518.63 is: 804,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,780.75 : 558,518.63 = 558,518.63 : x
  2. Step 2: Convert to fraction form
    387,780.75/558,518.63 = 558,518.63/x
  3. Step 3: Cross multiply
    387,780.75x = 558,518.63 × 558,518.63
  4. Step 4: Simplify right side
    387,780.75x = 311,943,054,471.89
  5. Step 5: Solve for x
    x = 311,943,054,471.89/387,780.75
  6. Step 6: Final answer
    x = 804,431.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.