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Finding the Third Proportional to 434,629.13 and 664,864.88

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Solution

The third proportional to 434,629.13 and 664,864.88 is: 1,017,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,629.13 : 664,864.88 = 664,864.88 : x
  2. Step 2: Convert to fraction form
    434,629.13/664,864.88 = 664,864.88/x
  3. Step 3: Cross multiply
    434,629.13x = 664,864.88 × 664,864.88
  4. Step 4: Simplify right side
    434,629.13x = 442,045,302,008.77
  5. Step 5: Solve for x
    x = 442,045,302,008.77/434,629.13
  6. Step 6: Final answer
    x = 1,017,063.23

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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.