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Finding the Third Proportional to 199,848.75 and 428,186.63

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Solution

The third proportional to 199,848.75 and 428,186.63 is: 917,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848.75 : 428,186.63 = 428,186.63 : x
  2. Step 2: Convert to fraction form
    199,848.75/428,186.63 = 428,186.63/x
  3. Step 3: Cross multiply
    199,848.75x = 428,186.63 × 428,186.63
  4. Step 4: Simplify right side
    199,848.75x = 183,343,785,828.89
  5. Step 5: Solve for x
    x = 183,343,785,828.89/199,848.75
  6. Step 6: Final answer
    x = 917,412.72

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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.