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Finding the Third Proportional to 314,558 and 684,411

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Solution

The third proportional to 314,558 and 684,411 is: 1,489,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,558 : 684,411 = 684,411 : x
  2. Step 2: Convert to fraction form
    314,558/684,411 = 684,411/x
  3. Step 3: Cross multiply
    314,558x = 684,411 × 684,411
  4. Step 4: Simplify right side
    314,558x = 468,418,416,921
  5. Step 5: Solve for x
    x = 468,418,416,921/314,558
  6. Step 6: Final answer
    x = 1,489,132.11

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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.