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Finding the Third Proportional to 65,614 and 139,430

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Solution

The third proportional to 65,614 and 139,430 is: 296,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614 : 139,430 = 139,430 : x
  2. Step 2: Convert to fraction form
    65,614/139,430 = 139,430/x
  3. Step 3: Cross multiply
    65,614x = 139,430 × 139,430
  4. Step 4: Simplify right side
    65,614x = 19,440,724,900
  5. Step 5: Solve for x
    x = 19,440,724,900/65,614
  6. Step 6: Final answer
    x = 296,289.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.