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Finding the Third Proportional to 197,775,887 and 290,948,103

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Solution

The third proportional to 197,775,887 and 290,948,103 is: 428,013,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,775,887 : 290,948,103 = 290,948,103 : x
  2. Step 2: Convert to fraction form
    197,775,887/290,948,103 = 290,948,103/x
  3. Step 3: Cross multiply
    197,775,887x = 290,948,103 × 290,948,103
  4. Step 4: Simplify right side
    197,775,887x = 84,650,798,639,298,608
  5. Step 5: Solve for x
    x = 84,650,798,639,298,608/197,775,887
  6. Step 6: Final answer
    x = 428,013,747.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.