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Finding the Third Proportional to 297,758 and 648,964

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Solution

The third proportional to 297,758 and 648,964 is: 1,414,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,758 : 648,964 = 648,964 : x
  2. Step 2: Convert to fraction form
    297,758/648,964 = 648,964/x
  3. Step 3: Cross multiply
    297,758x = 648,964 × 648,964
  4. Step 4: Simplify right side
    297,758x = 421,154,273,296
  5. Step 5: Solve for x
    x = 421,154,273,296/297,758
  6. Step 6: Final answer
    x = 1,414,417.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.