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Finding the Third Proportional to 197,781,724 and 290,954,416

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Solution

The third proportional to 197,781,724 and 290,954,416 is: 428,019,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,781,724 : 290,954,416 = 290,954,416 : x
  2. Step 2: Convert to fraction form
    197,781,724/290,954,416 = 290,954,416/x
  3. Step 3: Cross multiply
    197,781,724x = 290,954,416 × 290,954,416
  4. Step 4: Simplify right side
    197,781,724x = 84,654,472,189,901,056
  5. Step 5: Solve for x
    x = 84,654,472,189,901,056/197,781,724
  6. Step 6: Final answer
    x = 428,019,689.98

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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.