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Finding the Third Proportional to 639,722,221.75 and 982,862,490.38

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Solution

The third proportional to 639,722,221.75 and 982,862,490.38 is: 1,510,059,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,722,221.75 : 982,862,490.38 = 982,862,490.38 : x
  2. Step 2: Convert to fraction form
    639,722,221.75/982,862,490.38 = 982,862,490.38/x
  3. Step 3: Cross multiply
    639,722,221.75x = 982,862,490.38 × 982,862,490.38
  4. Step 4: Simplify right side
    639,722,221.75x = 966,018,674,986,146,944
  5. Step 5: Solve for x
    x = 966,018,674,986,146,944/639,722,221.75
  6. Step 6: Final answer
    x = 1,510,059,588.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.