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Finding the Third Proportional to 810,639,564 and 1,643,836,120

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Solution

The third proportional to 810,639,564 and 1,643,836,120 is: 3,333,413,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,639,564 : 1,643,836,120 = 1,643,836,120 : x
  2. Step 2: Convert to fraction form
    810,639,564/1,643,836,120 = 1,643,836,120/x
  3. Step 3: Cross multiply
    810,639,564x = 1,643,836,120 × 1,643,836,120
  4. Step 4: Simplify right side
    810,639,564x = 2,702,197,189,416,654,336
  5. Step 5: Solve for x
    x = 2,702,197,189,416,654,336/810,639,564
  6. Step 6: Final answer
    x = 3,333,413,898.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.