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Finding the Third Proportional to 33,013,485 and 77,679,335.25

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Solution

The third proportional to 33,013,485 and 77,679,335.25 is: 182,776,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013,485 : 77,679,335.25 = 77,679,335.25 : x
  2. Step 2: Convert to fraction form
    33,013,485/77,679,335.25 = 77,679,335.25/x
  3. Step 3: Cross multiply
    33,013,485x = 77,679,335.25 × 77,679,335.25
  4. Step 4: Simplify right side
    33,013,485x = 6,034,079,124,881,893
  5. Step 5: Solve for x
    x = 6,034,079,124,881,893/33,013,485
  6. Step 6: Final answer
    x = 182,776,193.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.