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Finding the Third Proportional to 199,440 and 430,186.50

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Solution

The third proportional to 199,440 and 430,186.50 is: 927,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,440 : 430,186.50 = 430,186.50 : x
  2. Step 2: Convert to fraction form
    199,440/430,186.50 = 430,186.50/x
  3. Step 3: Cross multiply
    199,440x = 430,186.50 × 430,186.50
  4. Step 4: Simplify right side
    199,440x = 185,060,424,782.25
  5. Step 5: Solve for x
    x = 185,060,424,782.25/199,440
  6. Step 6: Final answer
    x = 927,900.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.