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Finding the Third Proportional to 315,499 and 684,229

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Solution

The third proportional to 315,499 and 684,229 is: 1,483,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,499 : 684,229 = 684,229 : x
  2. Step 2: Convert to fraction form
    315,499/684,229 = 684,229/x
  3. Step 3: Cross multiply
    315,499x = 684,229 × 684,229
  4. Step 4: Simplify right side
    315,499x = 468,169,324,441
  5. Step 5: Solve for x
    x = 468,169,324,441/315,499
  6. Step 6: Final answer
    x = 1,483,901.14

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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.