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Finding the Third Proportional to 315,449 and 684,138

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Solution

The third proportional to 315,449 and 684,138 is: 1,483,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,449 : 684,138 = 684,138 : x
  2. Step 2: Convert to fraction form
    315,449/684,138 = 684,138/x
  3. Step 3: Cross multiply
    315,449x = 684,138 × 684,138
  4. Step 4: Simplify right side
    315,449x = 468,044,803,044
  5. Step 5: Solve for x
    x = 468,044,803,044/315,449
  6. Step 6: Final answer
    x = 1,483,741.60

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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.