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Finding the Third Proportional to 308,976.75 and 478,166.63

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Solution

The third proportional to 308,976.75 and 478,166.63 is: 740,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,976.75 : 478,166.63 = 478,166.63 : x
  2. Step 2: Convert to fraction form
    308,976.75/478,166.63 = 478,166.63/x
  3. Step 3: Cross multiply
    308,976.75x = 478,166.63 × 478,166.63
  4. Step 4: Simplify right side
    308,976.75x = 228,643,321,263.89
  5. Step 5: Solve for x
    x = 228,643,321,263.89/308,976.75
  6. Step 6: Final answer
    x = 740,001.70

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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.