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Finding the Third Proportional to 346,340 and 520,518

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Solution

The third proportional to 346,340 and 520,518 is: 782,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,340 : 520,518 = 520,518 : x
  2. Step 2: Convert to fraction form
    346,340/520,518 = 520,518/x
  3. Step 3: Cross multiply
    346,340x = 520,518 × 520,518
  4. Step 4: Simplify right side
    346,340x = 270,938,988,324
  5. Step 5: Solve for x
    x = 270,938,988,324/346,340
  6. Step 6: Final answer
    x = 782,291.93

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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.