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Finding the Third Proportional to 295,426 and 644,320

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Solution

The third proportional to 295,426 and 644,320 is: 1,405,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,426 : 644,320 = 644,320 : x
  2. Step 2: Convert to fraction form
    295,426/644,320 = 644,320/x
  3. Step 3: Cross multiply
    295,426x = 644,320 × 644,320
  4. Step 4: Simplify right side
    295,426x = 415,148,262,400
  5. Step 5: Solve for x
    x = 415,148,262,400/295,426
  6. Step 6: Final answer
    x = 1,405,252.96

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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.