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Finding the Third Proportional to 380,853 and 811,053

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Solution

The third proportional to 380,853 and 811,053 is: 1,727,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,853 : 811,053 = 811,053 : x
  2. Step 2: Convert to fraction form
    380,853/811,053 = 811,053/x
  3. Step 3: Cross multiply
    380,853x = 811,053 × 811,053
  4. Step 4: Simplify right side
    380,853x = 657,806,968,809
  5. Step 5: Solve for x
    x = 657,806,968,809/380,853
  6. Step 6: Final answer
    x = 1,727,193.87

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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.