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Finding the Third Proportional to 402,938 and 547,556

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Solution

The third proportional to 402,938 and 547,556 is: 744,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,938 : 547,556 = 547,556 : x
  2. Step 2: Convert to fraction form
    402,938/547,556 = 547,556/x
  3. Step 3: Cross multiply
    402,938x = 547,556 × 547,556
  4. Step 4: Simplify right side
    402,938x = 299,817,573,136
  5. Step 5: Solve for x
    x = 299,817,573,136/402,938
  6. Step 6: Final answer
    x = 744,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.