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Finding the Third Proportional to 197,187,836 and 425,553,112

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Solution

The third proportional to 197,187,836 and 425,553,112 is: 918,390,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187,836 : 425,553,112 = 425,553,112 : x
  2. Step 2: Convert to fraction form
    197,187,836/425,553,112 = 425,553,112/x
  3. Step 3: Cross multiply
    197,187,836x = 425,553,112 × 425,553,112
  4. Step 4: Simplify right side
    197,187,836x = 181,095,451,132,884,544
  5. Step 5: Solve for x
    x = 181,095,451,132,884,544/197,187,836
  6. Step 6: Final answer
    x = 918,390,580.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.