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Finding the Third Proportional to 210,280 and 448,087

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Solution

The third proportional to 210,280 and 448,087 is: 954,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,280 : 448,087 = 448,087 : x
  2. Step 2: Convert to fraction form
    210,280/448,087 = 448,087/x
  3. Step 3: Cross multiply
    210,280x = 448,087 × 448,087
  4. Step 4: Simplify right side
    210,280x = 200,781,959,569
  5. Step 5: Solve for x
    x = 200,781,959,569/210,280
  6. Step 6: Final answer
    x = 954,831.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.