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Finding the Third Proportional to 430.47 and 648.79

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Solution

The third proportional to 430.47 and 648.79 is: 977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.47 : 648.79 = 648.79 : x
  2. Step 2: Convert to fraction form
    430.47/648.79 = 648.79/x
  3. Step 3: Cross multiply
    430.47x = 648.79 × 648.79
  4. Step 4: Simplify right side
    430.47x = 420,929.78
  5. Step 5: Solve for x
    x = 420,929.78/430.47
  6. Step 6: Final answer
    x = 977.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.