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Finding the Third Proportional to 473,440 and 639,856

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Solution

The third proportional to 473,440 and 639,856 is: 864,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,440 : 639,856 = 639,856 : x
  2. Step 2: Convert to fraction form
    473,440/639,856 = 639,856/x
  3. Step 3: Cross multiply
    473,440x = 639,856 × 639,856
  4. Step 4: Simplify right side
    473,440x = 409,415,700,736
  5. Step 5: Solve for x
    x = 409,415,700,736/473,440
  6. Step 6: Final answer
    x = 864,767.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.