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Finding the Third Proportional to 321,781 and 473,377

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Solution

The third proportional to 321,781 and 473,377 is: 696,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,781 : 473,377 = 473,377 : x
  2. Step 2: Convert to fraction form
    321,781/473,377 = 473,377/x
  3. Step 3: Cross multiply
    321,781x = 473,377 × 473,377
  4. Step 4: Simplify right side
    321,781x = 224,085,784,129
  5. Step 5: Solve for x
    x = 224,085,784,129/321,781
  6. Step 6: Final answer
    x = 696,392.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.