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Finding the Third Proportional to 305,859,314.25 and 660,454,485.75

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Solution

The third proportional to 305,859,314.25 and 660,454,485.75 is: 1,426,146,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859,314.25 : 660,454,485.75 = 660,454,485.75 : x
  2. Step 2: Convert to fraction form
    305,859,314.25/660,454,485.75 = 660,454,485.75/x
  3. Step 3: Cross multiply
    305,859,314.25x = 660,454,485.75 × 660,454,485.75
  4. Step 4: Simplify right side
    305,859,314.25x = 436,200,127,747,296,960
  5. Step 5: Solve for x
    x = 436,200,127,747,296,960/305,859,314.25
  6. Step 6: Final answer
    x = 1,426,146,294.80

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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.