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Finding the Third Proportional to 152,476 and 217,842

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Solution

The third proportional to 152,476 and 217,842 is: 311,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,476 : 217,842 = 217,842 : x
  2. Step 2: Convert to fraction form
    152,476/217,842 = 217,842/x
  3. Step 3: Cross multiply
    152,476x = 217,842 × 217,842
  4. Step 4: Simplify right side
    152,476x = 47,455,136,964
  5. Step 5: Solve for x
    x = 47,455,136,964/152,476
  6. Step 6: Final answer
    x = 311,230.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.