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Finding the Third Proportional to 310,572 and 424,305

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Solution

The third proportional to 310,572 and 424,305 is: 579,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,572 : 424,305 = 424,305 : x
  2. Step 2: Convert to fraction form
    310,572/424,305 = 424,305/x
  3. Step 3: Cross multiply
    310,572x = 424,305 × 424,305
  4. Step 4: Simplify right side
    310,572x = 180,034,733,025
  5. Step 5: Solve for x
    x = 180,034,733,025/310,572
  6. Step 6: Final answer
    x = 579,687.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.