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Finding the Third Proportional to 201,272 and 430,726

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Solution

The third proportional to 201,272 and 430,726 is: 921,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272 : 430,726 = 430,726 : x
  2. Step 2: Convert to fraction form
    201,272/430,726 = 430,726/x
  3. Step 3: Cross multiply
    201,272x = 430,726 × 430,726
  4. Step 4: Simplify right side
    201,272x = 185,524,887,076
  5. Step 5: Solve for x
    x = 185,524,887,076/201,272
  6. Step 6: Final answer
    x = 921,762.03

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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.