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Finding the Third Proportional to 262,369 and 393,475

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Solution

The third proportional to 262,369 and 393,475 is: 590,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,369 : 393,475 = 393,475 : x
  2. Step 2: Convert to fraction form
    262,369/393,475 = 393,475/x
  3. Step 3: Cross multiply
    262,369x = 393,475 × 393,475
  4. Step 4: Simplify right side
    262,369x = 154,822,575,625
  5. Step 5: Solve for x
    x = 154,822,575,625/262,369
  6. Step 6: Final answer
    x = 590,094.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.