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Finding the Third Proportional to 315,314 and 453,288

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Solution

The third proportional to 315,314 and 453,288 is: 651,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,314 : 453,288 = 453,288 : x
  2. Step 2: Convert to fraction form
    315,314/453,288 = 453,288/x
  3. Step 3: Cross multiply
    315,314x = 453,288 × 453,288
  4. Step 4: Simplify right side
    315,314x = 205,470,010,944
  5. Step 5: Solve for x
    x = 205,470,010,944/315,314
  6. Step 6: Final answer
    x = 651,636.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.