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Finding the Third Proportional to 6,430.50 and 9,425.25

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Solution

The third proportional to 6,430.50 and 9,425.25 is: 13,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.50 : 9,425.25 = 9,425.25 : x
  2. Step 2: Convert to fraction form
    6,430.50/9,425.25 = 9,425.25/x
  3. Step 3: Cross multiply
    6,430.50x = 9,425.25 × 9,425.25
  4. Step 4: Simplify right side
    6,430.50x = 88,835,337.56
  5. Step 5: Solve for x
    x = 88,835,337.56/6,430.50
  6. Step 6: Final answer
    x = 13,814.69

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1.5x scale

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.