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Finding the Third Proportional to 346,348 and 520,538

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Solution

The third proportional to 346,348 and 520,538 is: 782,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,348 : 520,538 = 520,538 : x
  2. Step 2: Convert to fraction form
    346,348/520,538 = 520,538/x
  3. Step 3: Cross multiply
    346,348x = 520,538 × 520,538
  4. Step 4: Simplify right side
    346,348x = 270,959,809,444
  5. Step 5: Solve for x
    x = 270,959,809,444/346,348
  6. Step 6: Final answer
    x = 782,333.98

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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.