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Finding the Third Proportional to 1,362,403,287 and 2,982,732,444

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Solution

The third proportional to 1,362,403,287 and 2,982,732,444 is: 6,530,146,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,403,287 : 2,982,732,444 = 2,982,732,444 : x
  2. Step 2: Convert to fraction form
    1,362,403,287/2,982,732,444 = 2,982,732,444/x
  3. Step 3: Cross multiply
    1,362,403,287x = 2,982,732,444 × 2,982,732,444
  4. Step 4: Simplify right side
    1,362,403,287x = 8,896,692,832,490,213,376
  5. Step 5: Solve for x
    x = 8,896,692,832,490,213,376/1,362,403,287
  6. Step 6: Final answer
    x = 6,530,146,335.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.