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Finding the Third Proportional to 67,896,842 and 138,931,302

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Solution

The third proportional to 67,896,842 and 138,931,302 is: 284,282,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896,842 : 138,931,302 = 138,931,302 : x
  2. Step 2: Convert to fraction form
    67,896,842/138,931,302 = 138,931,302/x
  3. Step 3: Cross multiply
    67,896,842x = 138,931,302 × 138,931,302
  4. Step 4: Simplify right side
    67,896,842x = 19,301,906,675,415,204
  5. Step 5: Solve for x
    x = 19,301,906,675,415,204/67,896,842
  6. Step 6: Final answer
    x = 284,282,834.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.