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Finding the Third Proportional to 297,886.50 and 638,415

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Solution

The third proportional to 297,886.50 and 638,415 is: 1,368,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,886.50 : 638,415 = 638,415 : x
  2. Step 2: Convert to fraction form
    297,886.50/638,415 = 638,415/x
  3. Step 3: Cross multiply
    297,886.50x = 638,415 × 638,415
  4. Step 4: Simplify right side
    297,886.50x = 407,573,712,225
  5. Step 5: Solve for x
    x = 407,573,712,225/297,886.50
  6. Step 6: Final answer
    x = 1,368,218.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.