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Finding the Third Proportional to 38,931,769 and 84,018,969

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Solution

The third proportional to 38,931,769 and 84,018,969 is: 181,322,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,931,769 : 84,018,969 = 84,018,969 : x
  2. Step 2: Convert to fraction form
    38,931,769/84,018,969 = 84,018,969/x
  3. Step 3: Cross multiply
    38,931,769x = 84,018,969 × 84,018,969
  4. Step 4: Simplify right side
    38,931,769x = 7,059,187,151,822,961
  5. Step 5: Solve for x
    x = 7,059,187,151,822,961/38,931,769
  6. Step 6: Final answer
    x = 181,322,023.97

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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.