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Finding the Third Proportional to 312,960 and 468,240

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Solution

The third proportional to 312,960 and 468,240 is: 700,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,960 : 468,240 = 468,240 : x
  2. Step 2: Convert to fraction form
    312,960/468,240 = 468,240/x
  3. Step 3: Cross multiply
    312,960x = 468,240 × 468,240
  4. Step 4: Simplify right side
    312,960x = 219,248,697,600
  5. Step 5: Solve for x
    x = 219,248,697,600/312,960
  6. Step 6: Final answer
    x = 700,564.60

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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.