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Finding the Third Proportional to 258,593,613.75 and 401,515,874.86

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Solution

The third proportional to 258,593,613.75 and 401,515,874.86 is: 623,429,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,593,613.75 : 401,515,874.86 = 401,515,874.86 : x
  2. Step 2: Convert to fraction form
    258,593,613.75/401,515,874.86 = 401,515,874.86/x
  3. Step 3: Cross multiply
    258,593,613.75x = 401,515,874.86 × 401,515,874.86
  4. Step 4: Simplify right side
    258,593,613.75x = 161,214,997,764,077,216
  5. Step 5: Solve for x
    x = 161,214,997,764,077,216/258,593,613.75
  6. Step 6: Final answer
    x = 623,429,927.08

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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.