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Finding the Third Proportional to 429,235,788 and 929,780,260.50

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Solution

The third proportional to 429,235,788 and 929,780,260.50 is: 2,014,024,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,788 : 929,780,260.50 = 929,780,260.50 : x
  2. Step 2: Convert to fraction form
    429,235,788/929,780,260.50 = 929,780,260.50/x
  3. Step 3: Cross multiply
    429,235,788x = 929,780,260.50 × 929,780,260.50
  4. Step 4: Simplify right side
    429,235,788x = 864,491,332,815,447,808
  5. Step 5: Solve for x
    x = 864,491,332,815,447,808/429,235,788
  6. Step 6: Final answer
    x = 2,014,024,359.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.