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Finding the Third Proportional to 430.59 and 498.66

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Solution

The third proportional to 430.59 and 498.66 is: 577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 498.66 = 498.66 : x
  2. Step 2: Convert to fraction form
    430.59/498.66 = 498.66/x
  3. Step 3: Cross multiply
    430.59x = 498.66 × 498.66
  4. Step 4: Simplify right side
    430.59x = 248,658.06
  5. Step 5: Solve for x
    x = 248,658.06/430.59
  6. Step 6: Final answer
    x = 577.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.