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Finding the Third Proportional to 315,495 and 684,221

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Solution

The third proportional to 315,495 and 684,221 is: 1,483,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,495 : 684,221 = 684,221 : x
  2. Step 2: Convert to fraction form
    315,495/684,221 = 684,221/x
  3. Step 3: Cross multiply
    315,495x = 684,221 × 684,221
  4. Step 4: Simplify right side
    315,495x = 468,158,376,841
  5. Step 5: Solve for x
    x = 468,158,376,841/315,495
  6. Step 6: Final answer
    x = 1,483,885.25

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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.