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Finding the Third Proportional to 198,255,885 and 429,461,658.75

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Solution

The third proportional to 198,255,885 and 429,461,658.75 is: 930,299,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,255,885 : 429,461,658.75 = 429,461,658.75 : x
  2. Step 2: Convert to fraction form
    198,255,885/429,461,658.75 = 429,461,658.75/x
  3. Step 3: Cross multiply
    198,255,885x = 429,461,658.75 × 429,461,658.75
  4. Step 4: Simplify right side
    198,255,885x = 184,437,316,336,301,440
  5. Step 5: Solve for x
    x = 184,437,316,336,301,440/198,255,885
  6. Step 6: Final answer
    x = 930,299,326.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.