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Finding the Third Proportional to 305,904 and 660,934.50

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Solution

The third proportional to 305,904 and 660,934.50 is: 1,428,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,904 : 660,934.50 = 660,934.50 : x
  2. Step 2: Convert to fraction form
    305,904/660,934.50 = 660,934.50/x
  3. Step 3: Cross multiply
    305,904x = 660,934.50 × 660,934.50
  4. Step 4: Simplify right side
    305,904x = 436,834,413,290.25
  5. Step 5: Solve for x
    x = 436,834,413,290.25/305,904
  6. Step 6: Final answer
    x = 1,428,011.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.