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Finding the Third Proportional to 350,821.13 and 513,109.69

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Solution

The third proportional to 350,821.13 and 513,109.69 is: 750,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,821.13 : 513,109.69 = 513,109.69 : x
  2. Step 2: Convert to fraction form
    350,821.13/513,109.69 = 513,109.69/x
  3. Step 3: Cross multiply
    350,821.13x = 513,109.69 × 513,109.69
  4. Step 4: Simplify right side
    350,821.13x = 263,281,551,406.35
  5. Step 5: Solve for x
    x = 263,281,551,406.35/350,821.13
  6. Step 6: Final answer
    x = 750,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.