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Finding the Third Proportional to 340,594.50 and 722,706

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Solution

The third proportional to 340,594.50 and 722,706 is: 1,533,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.50 : 722,706 = 722,706 : x
  2. Step 2: Convert to fraction form
    340,594.50/722,706 = 722,706/x
  3. Step 3: Cross multiply
    340,594.50x = 722,706 × 722,706
  4. Step 4: Simplify right side
    340,594.50x = 522,303,962,436
  5. Step 5: Solve for x
    x = 522,303,962,436/340,594.50
  6. Step 6: Final answer
    x = 1,533,506.74

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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.