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Finding the Third Proportional to 319,810 and 477,123

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Solution

The third proportional to 319,810 and 477,123 is: 711,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,810 : 477,123 = 477,123 : x
  2. Step 2: Convert to fraction form
    319,810/477,123 = 477,123/x
  3. Step 3: Cross multiply
    319,810x = 477,123 × 477,123
  4. Step 4: Simplify right side
    319,810x = 227,646,357,129
  5. Step 5: Solve for x
    x = 227,646,357,129/319,810
  6. Step 6: Final answer
    x = 711,817.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.