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Finding the Third Proportional to 288,381,429 and 446,821,359.75

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Solution

The third proportional to 288,381,429 and 446,821,359.75 is: 692,309,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,381,429 : 446,821,359.75 = 446,821,359.75 : x
  2. Step 2: Convert to fraction form
    288,381,429/446,821,359.75 = 446,821,359.75/x
  3. Step 3: Cross multiply
    288,381,429x = 446,821,359.75 × 446,821,359.75
  4. Step 4: Simplify right side
    288,381,429x = 199,649,327,528,838,912
  5. Step 5: Solve for x
    x = 199,649,327,528,838,912/288,381,429
  6. Step 6: Final answer
    x = 692,309,932.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.