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Finding the Third Proportional to 4,234.78 and 6,290.91

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Solution

The third proportional to 4,234.78 and 6,290.91 is: 9,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.78 : 6,290.91 = 6,290.91 : x
  2. Step 2: Convert to fraction form
    4,234.78/6,290.91 = 6,290.91/x
  3. Step 3: Cross multiply
    4,234.78x = 6,290.91 × 6,290.91
  4. Step 4: Simplify right side
    4,234.78x = 39,575,501.45
  5. Step 5: Solve for x
    x = 39,575,501.45/4,234.78
  6. Step 6: Final answer
    x = 9,345.35

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1.5x scale

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.