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Finding the Third Proportional to 646,681.22 and 1,360,336.78

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Solution

The third proportional to 646,681.22 and 1,360,336.78 is: 2,861,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,681.22 : 1,360,336.78 = 1,360,336.78 : x
  2. Step 2: Convert to fraction form
    646,681.22/1,360,336.78 = 1,360,336.78/x
  3. Step 3: Cross multiply
    646,681.22x = 1,360,336.78 × 1,360,336.78
  4. Step 4: Simplify right side
    646,681.22x = 1,850,516,158,421.61
  5. Step 5: Solve for x
    x = 1,850,516,158,421.61/646,681.22
  6. Step 6: Final answer
    x = 2,861,558.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.