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Finding the Third Proportional to 312,614 and 484,365

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Solution

The third proportional to 312,614 and 484,365 is: 750,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,614 : 484,365 = 484,365 : x
  2. Step 2: Convert to fraction form
    312,614/484,365 = 484,365/x
  3. Step 3: Cross multiply
    312,614x = 484,365 × 484,365
  4. Step 4: Simplify right side
    312,614x = 234,609,453,225
  5. Step 5: Solve for x
    x = 234,609,453,225/312,614
  6. Step 6: Final answer
    x = 750,476.48

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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.