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Finding the Third Proportional to 78,631,133 and 123,080,273

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Solution

The third proportional to 78,631,133 and 123,080,273 is: 192,655,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,631,133 : 123,080,273 = 123,080,273 : x
  2. Step 2: Convert to fraction form
    78,631,133/123,080,273 = 123,080,273/x
  3. Step 3: Cross multiply
    78,631,133x = 123,080,273 × 123,080,273
  4. Step 4: Simplify right side
    78,631,133x = 15,148,753,601,754,528
  5. Step 5: Solve for x
    x = 15,148,753,601,754,528/78,631,133
  6. Step 6: Final answer
    x = 192,655,924.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.