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Finding the Third Proportional to 199,810.13 and 428,051.25

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Solution

The third proportional to 199,810.13 and 428,051.25 is: 917,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.13 : 428,051.25 = 428,051.25 : x
  2. Step 2: Convert to fraction form
    199,810.13/428,051.25 = 428,051.25/x
  3. Step 3: Cross multiply
    199,810.13x = 428,051.25 × 428,051.25
  4. Step 4: Simplify right side
    199,810.13x = 183,227,872,626.56
  5. Step 5: Solve for x
    x = 183,227,872,626.56/199,810.13
  6. Step 6: Final answer
    x = 917,009.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.