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Finding the Third Proportional to 302,427 and 640,656

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Solution

The third proportional to 302,427 and 640,656 is: 1,357,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427 : 640,656 = 640,656 : x
  2. Step 2: Convert to fraction form
    302,427/640,656 = 640,656/x
  3. Step 3: Cross multiply
    302,427x = 640,656 × 640,656
  4. Step 4: Simplify right side
    302,427x = 410,440,110,336
  5. Step 5: Solve for x
    x = 410,440,110,336/302,427
  6. Step 6: Final answer
    x = 1,357,154.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.