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Finding the Third Proportional to 296,390 and 439,439

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Solution

The third proportional to 296,390 and 439,439 is: 651,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,390 : 439,439 = 439,439 : x
  2. Step 2: Convert to fraction form
    296,390/439,439 = 439,439/x
  3. Step 3: Cross multiply
    296,390x = 439,439 × 439,439
  4. Step 4: Simplify right side
    296,390x = 193,106,634,721
  5. Step 5: Solve for x
    x = 193,106,634,721/296,390
  6. Step 6: Final answer
    x = 651,528.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.