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Finding the Third Proportional to 312,651 and 484,420.50

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Solution

The third proportional to 312,651 and 484,420.50 is: 750,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,651 : 484,420.50 = 484,420.50 : x
  2. Step 2: Convert to fraction form
    312,651/484,420.50 = 484,420.50/x
  3. Step 3: Cross multiply
    312,651x = 484,420.50 × 484,420.50
  4. Step 4: Simplify right side
    312,651x = 234,663,220,820.25
  5. Step 5: Solve for x
    x = 234,663,220,820.25/312,651
  6. Step 6: Final answer
    x = 750,559.64

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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.