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Finding the Third Proportional to 120,532,447,044 and 198,469,280,628

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Solution

The third proportional to 120,532,447,044 and 198,469,280,628 is: 326,800,428,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532,447,044 : 198,469,280,628 = 198,469,280,628 : x
  2. Step 2: Convert to fraction form
    120,532,447,044/198,469,280,628 = 198,469,280,628/x
  3. Step 3: Cross multiply
    120,532,447,044x = 198,469,280,628 × 198,469,280,628
  4. Step 4: Simplify right side
    120,532,447,044x = 39,390,055,352,995,814,572,032
  5. Step 5: Solve for x
    x = 39,390,055,352,995,814,572,032/120,532,447,044
  6. Step 6: Final answer
    x = 326,800,428,590.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.