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Finding the Third Proportional to 210,791 and 456,853

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Solution

The third proportional to 210,791 and 456,853 is: 990,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791 : 456,853 = 456,853 : x
  2. Step 2: Convert to fraction form
    210,791/456,853 = 456,853/x
  3. Step 3: Cross multiply
    210,791x = 456,853 × 456,853
  4. Step 4: Simplify right side
    210,791x = 208,714,663,609
  5. Step 5: Solve for x
    x = 208,714,663,609/210,791
  6. Step 6: Final answer
    x = 990,149.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.