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Finding the Third Proportional to 31,384,586 and 67,578,382

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Solution

The third proportional to 31,384,586 and 67,578,382 is: 145,512,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384,586 : 67,578,382 = 67,578,382 : x
  2. Step 2: Convert to fraction form
    31,384,586/67,578,382 = 67,578,382/x
  3. Step 3: Cross multiply
    31,384,586x = 67,578,382 × 67,578,382
  4. Step 4: Simplify right side
    31,384,586x = 4,566,837,713,737,924
  5. Step 5: Solve for x
    x = 4,566,837,713,737,924/31,384,586
  6. Step 6: Final answer
    x = 145,512,122.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.