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Finding the Third Proportional to 1,314,140.63 and 1,921,320

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Solution

The third proportional to 1,314,140.63 and 1,921,320 is: 2,809,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,140.63 : 1,921,320 = 1,921,320 : x
  2. Step 2: Convert to fraction form
    1,314,140.63/1,921,320 = 1,921,320/x
  3. Step 3: Cross multiply
    1,314,140.63x = 1,921,320 × 1,921,320
  4. Step 4: Simplify right side
    1,314,140.63x = 3,691,470,542,400
  5. Step 5: Solve for x
    x = 3,691,470,542,400/1,314,140.63
  6. Step 6: Final answer
    x = 2,809,037.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.