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Finding the Third Proportional to 434,990.25 and 658,499.63

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Solution

The third proportional to 434,990.25 and 658,499.63 is: 996,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,990.25 : 658,499.63 = 658,499.63 : x
  2. Step 2: Convert to fraction form
    434,990.25/658,499.63 = 658,499.63/x
  3. Step 3: Cross multiply
    434,990.25x = 658,499.63 × 658,499.63
  4. Step 4: Simplify right side
    434,990.25x = 433,621,756,125.14
  5. Step 5: Solve for x
    x = 433,621,756,125.14/434,990.25
  6. Step 6: Final answer
    x = 996,853.97

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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.