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Finding the Third Proportional to 313,739 and 484,778

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Solution

The third proportional to 313,739 and 484,778 is: 749,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,739 : 484,778 = 484,778 : x
  2. Step 2: Convert to fraction form
    313,739/484,778 = 484,778/x
  3. Step 3: Cross multiply
    313,739x = 484,778 × 484,778
  4. Step 4: Simplify right side
    313,739x = 235,009,709,284
  5. Step 5: Solve for x
    x = 235,009,709,284/313,739
  6. Step 6: Final answer
    x = 749,061.19

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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.