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Finding the Third Proportional to 208,199 and 457,312

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Solution

The third proportional to 208,199 and 457,312 is: 1,004,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,199 : 457,312 = 457,312 : x
  2. Step 2: Convert to fraction form
    208,199/457,312 = 457,312/x
  3. Step 3: Cross multiply
    208,199x = 457,312 × 457,312
  4. Step 4: Simplify right side
    208,199x = 209,134,265,344
  5. Step 5: Solve for x
    x = 209,134,265,344/208,199
  6. Step 6: Final answer
    x = 1,004,492.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.