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Finding the Third Proportional to 676,824 and 1,455,720

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Solution

The third proportional to 676,824 and 1,455,720 is: 3,130,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,824 : 1,455,720 = 1,455,720 : x
  2. Step 2: Convert to fraction form
    676,824/1,455,720 = 1,455,720/x
  3. Step 3: Cross multiply
    676,824x = 1,455,720 × 1,455,720
  4. Step 4: Simplify right side
    676,824x = 2,119,120,718,400
  5. Step 5: Solve for x
    x = 2,119,120,718,400/676,824
  6. Step 6: Final answer
    x = 3,130,977.50

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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.