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Finding the Third Proportional to 817,281,918 and 1,268,986,364

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Solution

The third proportional to 817,281,918 and 1,268,986,364 is: 1,970,343,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,281,918 : 1,268,986,364 = 1,268,986,364 : x
  2. Step 2: Convert to fraction form
    817,281,918/1,268,986,364 = 1,268,986,364/x
  3. Step 3: Cross multiply
    817,281,918x = 1,268,986,364 × 1,268,986,364
  4. Step 4: Simplify right side
    817,281,918x = 1,610,326,392,017,940,480
  5. Step 5: Solve for x
    x = 1,610,326,392,017,940,480/817,281,918
  6. Step 6: Final answer
    x = 1,970,343,839.20

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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.