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Finding the Third Proportional to 343,532 and 732,724

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Solution

The third proportional to 343,532 and 732,724 is: 1,562,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,532 : 732,724 = 732,724 : x
  2. Step 2: Convert to fraction form
    343,532/732,724 = 732,724/x
  3. Step 3: Cross multiply
    343,532x = 732,724 × 732,724
  4. Step 4: Simplify right side
    343,532x = 536,884,460,176
  5. Step 5: Solve for x
    x = 536,884,460,176/343,532
  6. Step 6: Final answer
    x = 1,562,836.83

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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.