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Finding the Third Proportional to 346,286 and 520,432

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Solution

The third proportional to 346,286 and 520,432 is: 782,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,286 : 520,432 = 520,432 : x
  2. Step 2: Convert to fraction form
    346,286/520,432 = 520,432/x
  3. Step 3: Cross multiply
    346,286x = 520,432 × 520,432
  4. Step 4: Simplify right side
    346,286x = 270,849,466,624
  5. Step 5: Solve for x
    x = 270,849,466,624/346,286
  6. Step 6: Final answer
    x = 782,155.41

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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.