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Finding the Third Proportional to 296,498 and 638,025

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Solution

The third proportional to 296,498 and 638,025 is: 1,372,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,498 : 638,025 = 638,025 : x
  2. Step 2: Convert to fraction form
    296,498/638,025 = 638,025/x
  3. Step 3: Cross multiply
    296,498x = 638,025 × 638,025
  4. Step 4: Simplify right side
    296,498x = 407,075,900,625
  5. Step 5: Solve for x
    x = 407,075,900,625/296,498
  6. Step 6: Final answer
    x = 1,372,946.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.