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Finding the Third Proportional to 338,109,727.50 and 517,220,187.75

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Solution

The third proportional to 338,109,727.50 and 517,220,187.75 is: 791,212,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,109,727.50 : 517,220,187.75 = 517,220,187.75 : x
  2. Step 2: Convert to fraction form
    338,109,727.50/517,220,187.75 = 517,220,187.75/x
  3. Step 3: Cross multiply
    338,109,727.50x = 517,220,187.75 × 517,220,187.75
  4. Step 4: Simplify right side
    338,109,727.50x = 267,516,722,616,145,248
  5. Step 5: Solve for x
    x = 267,516,722,616,145,248/338,109,727.50
  6. Step 6: Final answer
    x = 791,212,736.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.