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Finding the Third Proportional to 4,355.30 and 6,430.36

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Solution

The third proportional to 4,355.30 and 6,430.36 is: 9,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,355.30 : 6,430.36 = 6,430.36 : x
  2. Step 2: Convert to fraction form
    4,355.30/6,430.36 = 6,430.36/x
  3. Step 3: Cross multiply
    4,355.30x = 6,430.36 × 6,430.36
  4. Step 4: Simplify right side
    4,355.30x = 41,349,521.69
  5. Step 5: Solve for x
    x = 41,349,521.69/4,355.30
  6. Step 6: Final answer
    x = 9,494.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.