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Finding the Third Proportional to 312,562 and 484,287

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Solution

The third proportional to 312,562 and 484,287 is: 750,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,562 : 484,287 = 484,287 : x
  2. Step 2: Convert to fraction form
    312,562/484,287 = 484,287/x
  3. Step 3: Cross multiply
    312,562x = 484,287 × 484,287
  4. Step 4: Simplify right side
    312,562x = 234,533,898,369
  5. Step 5: Solve for x
    x = 234,533,898,369/312,562
  6. Step 6: Final answer
    x = 750,359.60

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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.