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Finding the Third Proportional to 311,581 and 508,737

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Solution

The third proportional to 311,581 and 508,737 is: 830,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,581 : 508,737 = 508,737 : x
  2. Step 2: Convert to fraction form
    311,581/508,737 = 508,737/x
  3. Step 3: Cross multiply
    311,581x = 508,737 × 508,737
  4. Step 4: Simplify right side
    311,581x = 258,813,335,169
  5. Step 5: Solve for x
    x = 258,813,335,169/311,581
  6. Step 6: Final answer
    x = 830,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.