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Finding the Third Proportional to 50,538,640 and 77,633,533

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Solution

The third proportional to 50,538,640 and 77,633,533 is: 119,254,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538,640 : 77,633,533 = 77,633,533 : x
  2. Step 2: Convert to fraction form
    50,538,640/77,633,533 = 77,633,533/x
  3. Step 3: Cross multiply
    50,538,640x = 77,633,533 × 77,633,533
  4. Step 4: Simplify right side
    50,538,640x = 6,026,965,446,062,089
  5. Step 5: Solve for x
    x = 6,026,965,446,062,089/50,538,640
  6. Step 6: Final answer
    x = 119,254,602.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.