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Finding the Third Proportional to 257,510 and 346,519

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Solution

The third proportional to 257,510 and 346,519 is: 466,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,510 : 346,519 = 346,519 : x
  2. Step 2: Convert to fraction form
    257,510/346,519 = 346,519/x
  3. Step 3: Cross multiply
    257,510x = 346,519 × 346,519
  4. Step 4: Simplify right side
    257,510x = 120,075,417,361
  5. Step 5: Solve for x
    x = 120,075,417,361/257,510
  6. Step 6: Final answer
    x = 466,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.