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Finding the Third Proportional to 212,490 and 457,767

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Solution

The third proportional to 212,490 and 457,767 is: 986,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,490 : 457,767 = 457,767 : x
  2. Step 2: Convert to fraction form
    212,490/457,767 = 457,767/x
  3. Step 3: Cross multiply
    212,490x = 457,767 × 457,767
  4. Step 4: Simplify right side
    212,490x = 209,550,626,289
  5. Step 5: Solve for x
    x = 209,550,626,289/212,490
  6. Step 6: Final answer
    x = 986,167.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.