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Finding the Third Proportional to 77,839,014 and 109,490,378

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Solution

The third proportional to 77,839,014 and 109,490,378 is: 154,012,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839,014 : 109,490,378 = 109,490,378 : x
  2. Step 2: Convert to fraction form
    77,839,014/109,490,378 = 109,490,378/x
  3. Step 3: Cross multiply
    77,839,014x = 109,490,378 × 109,490,378
  4. Step 4: Simplify right side
    77,839,014x = 11,988,142,874,582,884
  5. Step 5: Solve for x
    x = 11,988,142,874,582,884/77,839,014
  6. Step 6: Final answer
    x = 154,012,008.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.