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Finding the Third Proportional to 350,124 and 509,877

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Solution

The third proportional to 350,124 and 509,877 is: 742,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,124 : 509,877 = 509,877 : x
  2. Step 2: Convert to fraction form
    350,124/509,877 = 509,877/x
  3. Step 3: Cross multiply
    350,124x = 509,877 × 509,877
  4. Step 4: Simplify right side
    350,124x = 259,974,555,129
  5. Step 5: Solve for x
    x = 259,974,555,129/350,124
  6. Step 6: Final answer
    x = 742,521.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.