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Finding the Third Proportional to 817,281,909 and 1,268,986,351.50

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Solution

The third proportional to 817,281,909 and 1,268,986,351.50 is: 1,970,343,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,281,909 : 1,268,986,351.50 = 1,268,986,351.50 : x
  2. Step 2: Convert to fraction form
    817,281,909/1,268,986,351.50 = 1,268,986,351.50/x
  3. Step 3: Cross multiply
    817,281,909x = 1,268,986,351.50 × 1,268,986,351.50
  4. Step 4: Simplify right side
    817,281,909x = 1,610,326,360,293,281,536
  5. Step 5: Solve for x
    x = 1,610,326,360,293,281,536/817,281,909
  6. Step 6: Final answer
    x = 1,970,343,822.08

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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.