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Finding the Third Proportional to 210,683 and 460,781

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Solution

The third proportional to 210,683 and 460,781 is: 1,007,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,683 : 460,781 = 460,781 : x
  2. Step 2: Convert to fraction form
    210,683/460,781 = 460,781/x
  3. Step 3: Cross multiply
    210,683x = 460,781 × 460,781
  4. Step 4: Simplify right side
    210,683x = 212,319,129,961
  5. Step 5: Solve for x
    x = 212,319,129,961/210,683
  6. Step 6: Final answer
    x = 1,007,765.84

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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.