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Finding the Third Proportional to 305,970 and 472,617

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Solution

The third proportional to 305,970 and 472,617 is: 730,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,970 : 472,617 = 472,617 : x
  2. Step 2: Convert to fraction form
    305,970/472,617 = 472,617/x
  3. Step 3: Cross multiply
    305,970x = 472,617 × 472,617
  4. Step 4: Simplify right side
    305,970x = 223,366,828,689
  5. Step 5: Solve for x
    x = 223,366,828,689/305,970
  6. Step 6: Final answer
    x = 730,028.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.