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Finding the Third Proportional to 354,732 and 521,724

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Solution

The third proportional to 354,732 and 521,724 is: 767,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,732 : 521,724 = 521,724 : x
  2. Step 2: Convert to fraction form
    354,732/521,724 = 521,724/x
  3. Step 3: Cross multiply
    354,732x = 521,724 × 521,724
  4. Step 4: Simplify right side
    354,732x = 272,195,932,176
  5. Step 5: Solve for x
    x = 272,195,932,176/354,732
  6. Step 6: Final answer
    x = 767,328.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.