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Finding the Third Proportional to 84,887,810 and 181,876,984

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Solution

The third proportional to 84,887,810 and 181,876,984 is: 389,681,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,887,810 : 181,876,984 = 181,876,984 : x
  2. Step 2: Convert to fraction form
    84,887,810/181,876,984 = 181,876,984/x
  3. Step 3: Cross multiply
    84,887,810x = 181,876,984 × 181,876,984
  4. Step 4: Simplify right side
    84,887,810x = 33,079,237,308,936,256
  5. Step 5: Solve for x
    x = 33,079,237,308,936,256/84,887,810
  6. Step 6: Final answer
    x = 389,681,831.93

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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.