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Finding the Third Proportional to 307,768 and 463,678

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Solution

The third proportional to 307,768 and 463,678 is: 698,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,768 : 463,678 = 463,678 : x
  2. Step 2: Convert to fraction form
    307,768/463,678 = 463,678/x
  3. Step 3: Cross multiply
    307,768x = 463,678 × 463,678
  4. Step 4: Simplify right side
    307,768x = 214,997,287,684
  5. Step 5: Solve for x
    x = 214,997,287,684/307,768
  6. Step 6: Final answer
    x = 698,569.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.