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Finding the Third Proportional to 298,438 and 450,537

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Solution

The third proportional to 298,438 and 450,537 is: 680,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,438 : 450,537 = 450,537 : x
  2. Step 2: Convert to fraction form
    298,438/450,537 = 450,537/x
  3. Step 3: Cross multiply
    298,438x = 450,537 × 450,537
  4. Step 4: Simplify right side
    298,438x = 202,983,588,369
  5. Step 5: Solve for x
    x = 202,983,588,369/298,438
  6. Step 6: Final answer
    x = 680,153.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.