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Finding the Third Proportional to 211,712,296.50 and 455,863,149

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Solution

The third proportional to 211,712,296.50 and 455,863,149 is: 981,573,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,712,296.50 : 455,863,149 = 455,863,149 : x
  2. Step 2: Convert to fraction form
    211,712,296.50/455,863,149 = 455,863,149/x
  3. Step 3: Cross multiply
    211,712,296.50x = 455,863,149 × 455,863,149
  4. Step 4: Simplify right side
    211,712,296.50x = 207,811,210,616,196,192
  5. Step 5: Solve for x
    x = 207,811,210,616,196,192/211,712,296.50
  6. Step 6: Final answer
    x = 981,573,645.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.