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Finding the Third Proportional to 348,324 and 521,135

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Solution

The third proportional to 348,324 and 521,135 is: 779,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,324 : 521,135 = 521,135 : x
  2. Step 2: Convert to fraction form
    348,324/521,135 = 521,135/x
  3. Step 3: Cross multiply
    348,324x = 521,135 × 521,135
  4. Step 4: Simplify right side
    348,324x = 271,581,688,225
  5. Step 5: Solve for x
    x = 271,581,688,225/348,324
  6. Step 6: Final answer
    x = 779,681.24

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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.