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Finding the Third Proportional to 315,694.13 and 478,615.50

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Solution

The third proportional to 315,694.13 and 478,615.50 is: 725,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,694.13 : 478,615.50 = 478,615.50 : x
  2. Step 2: Convert to fraction form
    315,694.13/478,615.50 = 478,615.50/x
  3. Step 3: Cross multiply
    315,694.13x = 478,615.50 × 478,615.50
  4. Step 4: Simplify right side
    315,694.13x = 229,072,796,840.25
  5. Step 5: Solve for x
    x = 229,072,796,840.25/315,694.13
  6. Step 6: Final answer
    x = 725,616.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.