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Finding the Third Proportional to 152,319 and 212,941

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Solution

The third proportional to 152,319 and 212,941 is: 297,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,319 : 212,941 = 212,941 : x
  2. Step 2: Convert to fraction form
    152,319/212,941 = 212,941/x
  3. Step 3: Cross multiply
    152,319x = 212,941 × 212,941
  4. Step 4: Simplify right side
    152,319x = 45,343,869,481
  5. Step 5: Solve for x
    x = 45,343,869,481/152,319
  6. Step 6: Final answer
    x = 297,690.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.