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Finding the Third Proportional to 446,490 and 680,217

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Solution

The third proportional to 446,490 and 680,217 is: 1,036,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,490 : 680,217 = 680,217 : x
  2. Step 2: Convert to fraction form
    446,490/680,217 = 680,217/x
  3. Step 3: Cross multiply
    446,490x = 680,217 × 680,217
  4. Step 4: Simplify right side
    446,490x = 462,695,167,089
  5. Step 5: Solve for x
    x = 462,695,167,089/446,490
  6. Step 6: Final answer
    x = 1,036,294.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.