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Finding the Third Proportional to 294,426 and 638,640

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Solution

The third proportional to 294,426 and 638,640 is: 1,385,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,426 : 638,640 = 638,640 : x
  2. Step 2: Convert to fraction form
    294,426/638,640 = 638,640/x
  3. Step 3: Cross multiply
    294,426x = 638,640 × 638,640
  4. Step 4: Simplify right side
    294,426x = 407,861,049,600
  5. Step 5: Solve for x
    x = 407,861,049,600/294,426
  6. Step 6: Final answer
    x = 1,385,275.25

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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.