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Finding the Third Proportional to 231,566 and 346,485

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Solution

The third proportional to 231,566 and 346,485 is: 518,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,566 : 346,485 = 346,485 : x
  2. Step 2: Convert to fraction form
    231,566/346,485 = 346,485/x
  3. Step 3: Cross multiply
    231,566x = 346,485 × 346,485
  4. Step 4: Simplify right side
    231,566x = 120,051,855,225
  5. Step 5: Solve for x
    x = 120,051,855,225/231,566
  6. Step 6: Final answer
    x = 518,434.72

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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.