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Finding the Third Proportional to 775,312 and 1,644,560

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Solution

The third proportional to 775,312 and 1,644,560 is: 3,488,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,312 : 1,644,560 = 1,644,560 : x
  2. Step 2: Convert to fraction form
    775,312/1,644,560 = 1,644,560/x
  3. Step 3: Cross multiply
    775,312x = 1,644,560 × 1,644,560
  4. Step 4: Simplify right side
    775,312x = 2,704,577,593,600
  5. Step 5: Solve for x
    x = 2,704,577,593,600/775,312
  6. Step 6: Final answer
    x = 3,488,373.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.