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Finding the Third Proportional to 411,415,488 and 878,627,412

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Solution

The third proportional to 411,415,488 and 878,627,412 is: 1,876,414,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415,488 : 878,627,412 = 878,627,412 : x
  2. Step 2: Convert to fraction form
    411,415,488/878,627,412 = 878,627,412/x
  3. Step 3: Cross multiply
    411,415,488x = 878,627,412 × 878,627,412
  4. Step 4: Simplify right side
    411,415,488x = 771,986,129,117,817,728
  5. Step 5: Solve for x
    x = 771,986,129,117,817,728/411,415,488
  6. Step 6: Final answer
    x = 1,876,414,844.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.