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Finding the Third Proportional to 343,533 and 732,726

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Solution

The third proportional to 343,533 and 732,726 is: 1,562,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,533 : 732,726 = 732,726 : x
  2. Step 2: Convert to fraction form
    343,533/732,726 = 732,726/x
  3. Step 3: Cross multiply
    343,533x = 732,726 × 732,726
  4. Step 4: Simplify right side
    343,533x = 536,887,391,076
  5. Step 5: Solve for x
    x = 536,887,391,076/343,533
  6. Step 6: Final answer
    x = 1,562,840.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.