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Finding the Third Proportional to 421,291.50 and 901,875

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Solution

The third proportional to 421,291.50 and 901,875 is: 1,930,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,291.50 : 901,875 = 901,875 : x
  2. Step 2: Convert to fraction form
    421,291.50/901,875 = 901,875/x
  3. Step 3: Cross multiply
    421,291.50x = 901,875 × 901,875
  4. Step 4: Simplify right side
    421,291.50x = 813,378,515,625
  5. Step 5: Solve for x
    x = 813,378,515,625/421,291.50
  6. Step 6: Final answer
    x = 1,930,678.68

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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.