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Finding the Third Proportional to 312,464 and 647,072

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Solution

The third proportional to 312,464 and 647,072 is: 1,340,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,464 : 647,072 = 647,072 : x
  2. Step 2: Convert to fraction form
    312,464/647,072 = 647,072/x
  3. Step 3: Cross multiply
    312,464x = 647,072 × 647,072
  4. Step 4: Simplify right side
    312,464x = 418,702,173,184
  5. Step 5: Solve for x
    x = 418,702,173,184/312,464
  6. Step 6: Final answer
    x = 1,340,001.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.