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Finding the Third Proportional to 316,220 and 684,928

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Solution

The third proportional to 316,220 and 684,928 is: 1,483,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,220 : 684,928 = 684,928 : x
  2. Step 2: Convert to fraction form
    316,220/684,928 = 684,928/x
  3. Step 3: Cross multiply
    316,220x = 684,928 × 684,928
  4. Step 4: Simplify right side
    316,220x = 469,126,365,184
  5. Step 5: Solve for x
    x = 469,126,365,184/316,220
  6. Step 6: Final answer
    x = 1,483,544.26

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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.