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Finding the Third Proportional to 312,643 and 484,408.50

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Solution

The third proportional to 312,643 and 484,408.50 is: 750,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,643 : 484,408.50 = 484,408.50 : x
  2. Step 2: Convert to fraction form
    312,643/484,408.50 = 484,408.50/x
  3. Step 3: Cross multiply
    312,643x = 484,408.50 × 484,408.50
  4. Step 4: Simplify right side
    312,643x = 234,651,594,872.25
  5. Step 5: Solve for x
    x = 234,651,594,872.25/312,643
  6. Step 6: Final answer
    x = 750,541.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.