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Finding the Third Proportional to 280,810.13 and 605,903.63

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Solution

The third proportional to 280,810.13 and 605,903.63 is: 1,307,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,810.13 : 605,903.63 = 605,903.63 : x
  2. Step 2: Convert to fraction form
    280,810.13/605,903.63 = 605,903.63/x
  3. Step 3: Cross multiply
    280,810.13x = 605,903.63 × 605,903.63
  4. Step 4: Simplify right side
    280,810.13x = 367,119,202,788.14
  5. Step 5: Solve for x
    x = 367,119,202,788.14/280,810.13
  6. Step 6: Final answer
    x = 1,307,357.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.