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Finding the Third Proportional to 53,822,638 and 81,376,197

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Solution

The third proportional to 53,822,638 and 81,376,197 is: 123,035,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,822,638 : 81,376,197 = 81,376,197 : x
  2. Step 2: Convert to fraction form
    53,822,638/81,376,197 = 81,376,197/x
  3. Step 3: Cross multiply
    53,822,638x = 81,376,197 × 81,376,197
  4. Step 4: Simplify right side
    53,822,638x = 6,622,085,438,182,809
  5. Step 5: Solve for x
    x = 6,622,085,438,182,809/53,822,638
  6. Step 6: Final answer
    x = 123,035,319.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.