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Finding the Third Proportional to 210,654 and 438,810

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Solution

The third proportional to 210,654 and 438,810 is: 914,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,654 : 438,810 = 438,810 : x
  2. Step 2: Convert to fraction form
    210,654/438,810 = 438,810/x
  3. Step 3: Cross multiply
    210,654x = 438,810 × 438,810
  4. Step 4: Simplify right side
    210,654x = 192,554,216,100
  5. Step 5: Solve for x
    x = 192,554,216,100/210,654
  6. Step 6: Final answer
    x = 914,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.