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Finding the Third Proportional to 445,639 and 658,630

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Solution

The third proportional to 445,639 and 658,630 is: 973,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,639 : 658,630 = 658,630 : x
  2. Step 2: Convert to fraction form
    445,639/658,630 = 658,630/x
  3. Step 3: Cross multiply
    445,639x = 658,630 × 658,630
  4. Step 4: Simplify right side
    445,639x = 433,793,476,900
  5. Step 5: Solve for x
    x = 433,793,476,900/445,639
  6. Step 6: Final answer
    x = 973,419.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.