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Finding the Third Proportional to 448,776 and 981,792

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Solution

The third proportional to 448,776 and 981,792 is: 2,147,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,776 : 981,792 = 981,792 : x
  2. Step 2: Convert to fraction form
    448,776/981,792 = 981,792/x
  3. Step 3: Cross multiply
    448,776x = 981,792 × 981,792
  4. Step 4: Simplify right side
    448,776x = 963,915,531,264
  5. Step 5: Solve for x
    x = 963,915,531,264/448,776
  6. Step 6: Final answer
    x = 2,147,876.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.