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Finding the Third Proportional to 197,775,894 and 290,948,112

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Solution

The third proportional to 197,775,894 and 290,948,112 is: 428,013,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,775,894 : 290,948,112 = 290,948,112 : x
  2. Step 2: Convert to fraction form
    197,775,894/290,948,112 = 290,948,112/x
  3. Step 3: Cross multiply
    197,775,894x = 290,948,112 × 290,948,112
  4. Step 4: Simplify right side
    197,775,894x = 84,650,803,876,364,544
  5. Step 5: Solve for x
    x = 84,650,803,876,364,544/197,775,894
  6. Step 6: Final answer
    x = 428,013,759.23

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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.