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Finding the Third Proportional to 307,316 and 665,175

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Solution

The third proportional to 307,316 and 665,175 is: 1,439,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,316 : 665,175 = 665,175 : x
  2. Step 2: Convert to fraction form
    307,316/665,175 = 665,175/x
  3. Step 3: Cross multiply
    307,316x = 665,175 × 665,175
  4. Step 4: Simplify right side
    307,316x = 442,457,780,625
  5. Step 5: Solve for x
    x = 442,457,780,625/307,316
  6. Step 6: Final answer
    x = 1,439,748.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.