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Finding the Third Proportional to 464,460.75 and 768,692.25

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Solution

The third proportional to 464,460.75 and 768,692.25 is: 1,272,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,460.75 : 768,692.25 = 768,692.25 : x
  2. Step 2: Convert to fraction form
    464,460.75/768,692.25 = 768,692.25/x
  3. Step 3: Cross multiply
    464,460.75x = 768,692.25 × 768,692.25
  4. Step 4: Simplify right side
    464,460.75x = 590,887,775,210.06
  5. Step 5: Solve for x
    x = 590,887,775,210.06/464,460.75
  6. Step 6: Final answer
    x = 1,272,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.