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Finding the Third Proportional to 223,785,193.50 and 470,760,471

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Solution

The third proportional to 223,785,193.50 and 470,760,471 is: 990,304,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,785,193.50 : 470,760,471 = 470,760,471 : x
  2. Step 2: Convert to fraction form
    223,785,193.50/470,760,471 = 470,760,471/x
  3. Step 3: Cross multiply
    223,785,193.50x = 470,760,471 × 470,760,471
  4. Step 4: Simplify right side
    223,785,193.50x = 221,615,421,056,141,856
  5. Step 5: Solve for x
    x = 221,615,421,056,141,856/223,785,193.50
  6. Step 6: Final answer
    x = 990,304,218.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.