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Finding the Third Proportional to 302,620 and 439,724

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Solution

The third proportional to 302,620 and 439,724 is: 638,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,620 : 439,724 = 439,724 : x
  2. Step 2: Convert to fraction form
    302,620/439,724 = 439,724/x
  3. Step 3: Cross multiply
    302,620x = 439,724 × 439,724
  4. Step 4: Simplify right side
    302,620x = 193,357,196,176
  5. Step 5: Solve for x
    x = 193,357,196,176/302,620
  6. Step 6: Final answer
    x = 638,943.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.