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Finding the Third Proportional to 302,557 and 439,639

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Solution

The third proportional to 302,557 and 439,639 is: 638,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,557 : 439,639 = 439,639 : x
  2. Step 2: Convert to fraction form
    302,557/439,639 = 439,639/x
  3. Step 3: Cross multiply
    302,557x = 439,639 × 439,639
  4. Step 4: Simplify right side
    302,557x = 193,282,450,321
  5. Step 5: Solve for x
    x = 193,282,450,321/302,557
  6. Step 6: Final answer
    x = 638,829.87

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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.