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Finding the Third Proportional to 309,856 and 473,688

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Solution

The third proportional to 309,856 and 473,688 is: 724,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,856 : 473,688 = 473,688 : x
  2. Step 2: Convert to fraction form
    309,856/473,688 = 473,688/x
  3. Step 3: Cross multiply
    309,856x = 473,688 × 473,688
  4. Step 4: Simplify right side
    309,856x = 224,380,321,344
  5. Step 5: Solve for x
    x = 224,380,321,344/309,856
  6. Step 6: Final answer
    x = 724,143.86

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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.