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Finding the Third Proportional to 109,986,057 and 238,889,143

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Solution

The third proportional to 109,986,057 and 238,889,143 is: 518,865,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,057 : 238,889,143 = 238,889,143 : x
  2. Step 2: Convert to fraction form
    109,986,057/238,889,143 = 238,889,143/x
  3. Step 3: Cross multiply
    109,986,057x = 238,889,143 × 238,889,143
  4. Step 4: Simplify right side
    109,986,057x = 57,068,022,643,274,448
  5. Step 5: Solve for x
    x = 57,068,022,643,274,448/109,986,057
  6. Step 6: Final answer
    x = 518,865,974.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.