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Finding the Third Proportional to 427,486,362 and 933,678,468

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Solution

The third proportional to 427,486,362 and 933,678,468 is: 2,039,259,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,486,362 : 933,678,468 = 933,678,468 : x
  2. Step 2: Convert to fraction form
    427,486,362/933,678,468 = 933,678,468/x
  3. Step 3: Cross multiply
    427,486,362x = 933,678,468 × 933,678,468
  4. Step 4: Simplify right side
    427,486,362x = 871,755,481,606,827,008
  5. Step 5: Solve for x
    x = 871,755,481,606,827,008/427,486,362
  6. Step 6: Final answer
    x = 2,039,259,164.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.