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Finding the Third Proportional to 305,407 and 475,559

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Solution

The third proportional to 305,407 and 475,559 is: 740,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,407 : 475,559 = 475,559 : x
  2. Step 2: Convert to fraction form
    305,407/475,559 = 475,559/x
  3. Step 3: Cross multiply
    305,407x = 475,559 × 475,559
  4. Step 4: Simplify right side
    305,407x = 226,156,362,481
  5. Step 5: Solve for x
    x = 226,156,362,481/305,407
  6. Step 6: Final answer
    x = 740,508.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.