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Finding the Third Proportional to 262,121,772 and 406,994,021

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Solution

The third proportional to 262,121,772 and 406,994,021 is: 631,935,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,121,772 : 406,994,021 = 406,994,021 : x
  2. Step 2: Convert to fraction form
    262,121,772/406,994,021 = 406,994,021/x
  3. Step 3: Cross multiply
    262,121,772x = 406,994,021 × 406,994,021
  4. Step 4: Simplify right side
    262,121,772x = 165,644,133,129,748,448
  5. Step 5: Solve for x
    x = 165,644,133,129,748,448/262,121,772
  6. Step 6: Final answer
    x = 631,935,805.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.