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Finding the Third Proportional to 520,138 and 706,479

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Solution

The third proportional to 520,138 and 706,479 is: 959,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138 : 706,479 = 706,479 : x
  2. Step 2: Convert to fraction form
    520,138/706,479 = 706,479/x
  3. Step 3: Cross multiply
    520,138x = 706,479 × 706,479
  4. Step 4: Simplify right side
    520,138x = 499,112,577,441
  5. Step 5: Solve for x
    x = 499,112,577,441/520,138
  6. Step 6: Final answer
    x = 959,577.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.