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Finding the Third Proportional to 78,631,136 and 123,080,277

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Solution

The third proportional to 78,631,136 and 123,080,277 is: 192,655,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,631,136 : 123,080,277 = 123,080,277 : x
  2. Step 2: Convert to fraction form
    78,631,136/123,080,277 = 123,080,277/x
  3. Step 3: Cross multiply
    78,631,136x = 123,080,277 × 123,080,277
  4. Step 4: Simplify right side
    78,631,136x = 15,148,754,586,396,728
  5. Step 5: Solve for x
    x = 15,148,754,586,396,728/78,631,136
  6. Step 6: Final answer
    x = 192,655,929.41

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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.