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Finding the Third Proportional to 307,810 and 462,607

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Solution

The third proportional to 307,810 and 462,607 is: 695,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,810 : 462,607 = 462,607 : x
  2. Step 2: Convert to fraction form
    307,810/462,607 = 462,607/x
  3. Step 3: Cross multiply
    307,810x = 462,607 × 462,607
  4. Step 4: Simplify right side
    307,810x = 214,005,236,449
  5. Step 5: Solve for x
    x = 214,005,236,449/307,810
  6. Step 6: Final answer
    x = 695,251.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.