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Finding the Third Proportional to 400,858,758 and 838,369,417.50

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Solution

The third proportional to 400,858,758 and 838,369,417.50 is: 1,753,393,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858,758 : 838,369,417.50 = 838,369,417.50 : x
  2. Step 2: Convert to fraction form
    400,858,758/838,369,417.50 = 838,369,417.50/x
  3. Step 3: Cross multiply
    400,858,758x = 838,369,417.50 × 838,369,417.50
  4. Step 4: Simplify right side
    400,858,758x = 702,863,280,199,289,344
  5. Step 5: Solve for x
    x = 702,863,280,199,289,344/400,858,758
  6. Step 6: Final answer
    x = 1,753,393,848.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.