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Finding the Third Proportional to 430,388,505 and 920,613,327

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Solution

The third proportional to 430,388,505 and 920,613,327 is: 1,969,218,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388,505 : 920,613,327 = 920,613,327 : x
  2. Step 2: Convert to fraction form
    430,388,505/920,613,327 = 920,613,327/x
  3. Step 3: Cross multiply
    430,388,505x = 920,613,327 × 920,613,327
  4. Step 4: Simplify right side
    430,388,505x = 847,528,897,850,008,960
  5. Step 5: Solve for x
    x = 847,528,897,850,008,960/430,388,505
  6. Step 6: Final answer
    x = 1,969,218,248.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.