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Finding the Third Proportional to 307,812 and 463,746

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Solution

The third proportional to 307,812 and 463,746 is: 698,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812 : 463,746 = 463,746 : x
  2. Step 2: Convert to fraction form
    307,812/463,746 = 463,746/x
  3. Step 3: Cross multiply
    307,812x = 463,746 × 463,746
  4. Step 4: Simplify right side
    307,812x = 215,060,352,516
  5. Step 5: Solve for x
    x = 215,060,352,516/307,812
  6. Step 6: Final answer
    x = 698,674.36

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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.