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Finding the Third Proportional to 316,242 and 684,972

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Solution

The third proportional to 316,242 and 684,972 is: 1,483,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,242 : 684,972 = 684,972 : x
  2. Step 2: Convert to fraction form
    316,242/684,972 = 684,972/x
  3. Step 3: Cross multiply
    316,242x = 684,972 × 684,972
  4. Step 4: Simplify right side
    316,242x = 469,186,640,784
  5. Step 5: Solve for x
    x = 469,186,640,784/316,242
  6. Step 6: Final answer
    x = 1,483,631.65

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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.