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Finding the Third Proportional to 319,261.50 and 478,942.88

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Solution

The third proportional to 319,261.50 and 478,942.88 is: 718,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,261.50 : 478,942.88 = 478,942.88 : x
  2. Step 2: Convert to fraction form
    319,261.50/478,942.88 = 478,942.88/x
  3. Step 3: Cross multiply
    319,261.50x = 478,942.88 × 478,942.88
  4. Step 4: Simplify right side
    319,261.50x = 229,386,277,513.27
  5. Step 5: Solve for x
    x = 229,386,277,513.27/319,261.50
  6. Step 6: Final answer
    x = 718,490.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.