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Finding the Third Proportional to 195,032,448 and 406,207,224

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Solution

The third proportional to 195,032,448 and 406,207,224 is: 846,035,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,032,448 : 406,207,224 = 406,207,224 : x
  2. Step 2: Convert to fraction form
    195,032,448/406,207,224 = 406,207,224/x
  3. Step 3: Cross multiply
    195,032,448x = 406,207,224 × 406,207,224
  4. Step 4: Simplify right side
    195,032,448x = 165,004,308,829,786,176
  5. Step 5: Solve for x
    x = 165,004,308,829,786,176/195,032,448
  6. Step 6: Final answer
    x = 846,035,162.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.