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Finding the Third Proportional to 97,104,783 and 208,060,227

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Solution

The third proportional to 97,104,783 and 208,060,227 is: 445,797,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,783 : 208,060,227 = 208,060,227 : x
  2. Step 2: Convert to fraction form
    97,104,783/208,060,227 = 208,060,227/x
  3. Step 3: Cross multiply
    97,104,783x = 208,060,227 × 208,060,227
  4. Step 4: Simplify right side
    97,104,783x = 43,289,058,059,291,528
  5. Step 5: Solve for x
    x = 43,289,058,059,291,528/97,104,783
  6. Step 6: Final answer
    x = 445,797,382.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.