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Finding the Third Proportional to 288,938 and 430,347

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Solution

The third proportional to 288,938 and 430,347 is: 640,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,938 : 430,347 = 430,347 : x
  2. Step 2: Convert to fraction form
    288,938/430,347 = 430,347/x
  3. Step 3: Cross multiply
    288,938x = 430,347 × 430,347
  4. Step 4: Simplify right side
    288,938x = 185,198,540,409
  5. Step 5: Solve for x
    x = 185,198,540,409/288,938
  6. Step 6: Final answer
    x = 640,962.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.