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Finding the Third Proportional to 315,659 and 473,853

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Solution

The third proportional to 315,659 and 473,853 is: 711,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,659 : 473,853 = 473,853 : x
  2. Step 2: Convert to fraction form
    315,659/473,853 = 473,853/x
  3. Step 3: Cross multiply
    315,659x = 473,853 × 473,853
  4. Step 4: Simplify right side
    315,659x = 224,536,665,609
  5. Step 5: Solve for x
    x = 224,536,665,609/315,659
  6. Step 6: Final answer
    x = 711,326.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.