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Finding the Third Proportional to 307,608 and 658,955

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Solution

The third proportional to 307,608 and 658,955 is: 1,411,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,608 : 658,955 = 658,955 : x
  2. Step 2: Convert to fraction form
    307,608/658,955 = 658,955/x
  3. Step 3: Cross multiply
    307,608x = 658,955 × 658,955
  4. Step 4: Simplify right side
    307,608x = 434,221,692,025
  5. Step 5: Solve for x
    x = 434,221,692,025/307,608
  6. Step 6: Final answer
    x = 1,411,607.28

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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.