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Finding the Third Proportional to 316,342 and 483,909

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Solution

The third proportional to 316,342 and 483,909 is: 740,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,342 : 483,909 = 483,909 : x
  2. Step 2: Convert to fraction form
    316,342/483,909 = 483,909/x
  3. Step 3: Cross multiply
    316,342x = 483,909 × 483,909
  4. Step 4: Simplify right side
    316,342x = 234,167,920,281
  5. Step 5: Solve for x
    x = 234,167,920,281/316,342
  6. Step 6: Final answer
    x = 740,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.