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Finding the Third Proportional to 821,583,319 and 1,272,612,923

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Solution

The third proportional to 821,583,319 and 1,272,612,923 is: 1,971,246,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,583,319 : 1,272,612,923 = 1,272,612,923 : x
  2. Step 2: Convert to fraction form
    821,583,319/1,272,612,923 = 1,272,612,923/x
  3. Step 3: Cross multiply
    821,583,319x = 1,272,612,923 × 1,272,612,923
  4. Step 4: Simplify right side
    821,583,319x = 1,619,543,651,786,604,032
  5. Step 5: Solve for x
    x = 1,619,543,651,786,604,032/821,583,319
  6. Step 6: Final answer
    x = 1,971,246,998.73

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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.