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Finding the Third Proportional to 310,522 and 439,477

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Solution

The third proportional to 310,522 and 439,477 is: 621,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,522 : 439,477 = 439,477 : x
  2. Step 2: Convert to fraction form
    310,522/439,477 = 439,477/x
  3. Step 3: Cross multiply
    310,522x = 439,477 × 439,477
  4. Step 4: Simplify right side
    310,522x = 193,140,033,529
  5. Step 5: Solve for x
    x = 193,140,033,529/310,522
  6. Step 6: Final answer
    x = 621,985.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.