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Finding the Third Proportional to 218,943 and 473,870

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Solution

The third proportional to 218,943 and 473,870 is: 1,025,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,943 : 473,870 = 473,870 : x
  2. Step 2: Convert to fraction form
    218,943/473,870 = 473,870/x
  3. Step 3: Cross multiply
    218,943x = 473,870 × 473,870
  4. Step 4: Simplify right side
    218,943x = 224,552,776,900
  5. Step 5: Solve for x
    x = 224,552,776,900/218,943
  6. Step 6: Final answer
    x = 1,025,622.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.