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Finding the Third Proportional to 228,132 and 340,246

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Solution

The third proportional to 228,132 and 340,246 is: 507,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,132 : 340,246 = 340,246 : x
  2. Step 2: Convert to fraction form
    228,132/340,246 = 340,246/x
  3. Step 3: Cross multiply
    228,132x = 340,246 × 340,246
  4. Step 4: Simplify right side
    228,132x = 115,767,340,516
  5. Step 5: Solve for x
    x = 115,767,340,516/228,132
  6. Step 6: Final answer
    x = 507,457.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.