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Finding the Third Proportional to 297,940 and 645,904

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Solution

The third proportional to 297,940 and 645,904 is: 1,400,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,940 : 645,904 = 645,904 : x
  2. Step 2: Convert to fraction form
    297,940/645,904 = 645,904/x
  3. Step 3: Cross multiply
    297,940x = 645,904 × 645,904
  4. Step 4: Simplify right side
    297,940x = 417,191,977,216
  5. Step 5: Solve for x
    x = 417,191,977,216/297,940
  6. Step 6: Final answer
    x = 1,400,255.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.