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Finding the Third Proportional to 423,630 and 648,972

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Solution

The third proportional to 423,630 and 648,972 is: 994,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,630 : 648,972 = 648,972 : x
  2. Step 2: Convert to fraction form
    423,630/648,972 = 648,972/x
  3. Step 3: Cross multiply
    423,630x = 648,972 × 648,972
  4. Step 4: Simplify right side
    423,630x = 421,164,656,784
  5. Step 5: Solve for x
    x = 421,164,656,784/423,630
  6. Step 6: Final answer
    x = 994,180.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.