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Finding the Third Proportional to 307,602 and 658,944

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Solution

The third proportional to 307,602 and 658,944 is: 1,411,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,602 : 658,944 = 658,944 : x
  2. Step 2: Convert to fraction form
    307,602/658,944 = 658,944/x
  3. Step 3: Cross multiply
    307,602x = 658,944 × 658,944
  4. Step 4: Simplify right side
    307,602x = 434,207,195,136
  5. Step 5: Solve for x
    x = 434,207,195,136/307,602
  6. Step 6: Final answer
    x = 1,411,587.69

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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.