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Finding the Third Proportional to 286,548 and 387,778.50

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Solution

The third proportional to 286,548 and 387,778.50 is: 524,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,548 : 387,778.50 = 387,778.50 : x
  2. Step 2: Convert to fraction form
    286,548/387,778.50 = 387,778.50/x
  3. Step 3: Cross multiply
    286,548x = 387,778.50 × 387,778.50
  4. Step 4: Simplify right side
    286,548x = 150,372,165,062.25
  5. Step 5: Solve for x
    x = 150,372,165,062.25/286,548
  6. Step 6: Final answer
    x = 524,771.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.