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Finding the Third Proportional to 346,282 and 520,426

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Solution

The third proportional to 346,282 and 520,426 is: 782,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,282 : 520,426 = 520,426 : x
  2. Step 2: Convert to fraction form
    346,282/520,426 = 520,426/x
  3. Step 3: Cross multiply
    346,282x = 520,426 × 520,426
  4. Step 4: Simplify right side
    346,282x = 270,843,221,476
  5. Step 5: Solve for x
    x = 270,843,221,476/346,282
  6. Step 6: Final answer
    x = 782,146.41

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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.