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Finding the Third Proportional to 687,614.06 and 1,485,838.69

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Solution

The third proportional to 687,614.06 and 1,485,838.69 is: 3,210,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,614.06 : 1,485,838.69 = 1,485,838.69 : x
  2. Step 2: Convert to fraction form
    687,614.06/1,485,838.69 = 1,485,838.69/x
  3. Step 3: Cross multiply
    687,614.06x = 1,485,838.69 × 1,485,838.69
  4. Step 4: Simplify right side
    687,614.06x = 2,207,716,605,271.72
  5. Step 5: Solve for x
    x = 2,207,716,605,271.72/687,614.06
  6. Step 6: Final answer
    x = 3,210,691.47

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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.