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Finding the Third Proportional to 310,442 and 665,168

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Solution

The third proportional to 310,442 and 665,168 is: 1,425,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,442 : 665,168 = 665,168 : x
  2. Step 2: Convert to fraction form
    310,442/665,168 = 665,168/x
  3. Step 3: Cross multiply
    310,442x = 665,168 × 665,168
  4. Step 4: Simplify right side
    310,442x = 442,448,468,224
  5. Step 5: Solve for x
    x = 442,448,468,224/310,442
  6. Step 6: Final answer
    x = 1,425,221.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.