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Finding the Third Proportional to 152,938 and 330,476

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Solution

The third proportional to 152,938 and 330,476 is: 714,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,938 : 330,476 = 330,476 : x
  2. Step 2: Convert to fraction form
    152,938/330,476 = 330,476/x
  3. Step 3: Cross multiply
    152,938x = 330,476 × 330,476
  4. Step 4: Simplify right side
    152,938x = 109,214,386,576
  5. Step 5: Solve for x
    x = 109,214,386,576/152,938
  6. Step 6: Final answer
    x = 714,108.90

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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.