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Finding the Third Proportional to 197,187,830 and 425,553,100

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Solution

The third proportional to 197,187,830 and 425,553,100 is: 918,390,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187,830 : 425,553,100 = 425,553,100 : x
  2. Step 2: Convert to fraction form
    197,187,830/425,553,100 = 425,553,100/x
  3. Step 3: Cross multiply
    197,187,830x = 425,553,100 × 425,553,100
  4. Step 4: Simplify right side
    197,187,830x = 181,095,440,919,609,984
  5. Step 5: Solve for x
    x = 181,095,440,919,609,984/197,187,830
  6. Step 6: Final answer
    x = 918,390,556.45

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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.