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Finding the Third Proportional to 643,338,468 and 1,404,657,387

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Solution

The third proportional to 643,338,468 and 1,404,657,387 is: 3,066,911,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,338,468 : 1,404,657,387 = 1,404,657,387 : x
  2. Step 2: Convert to fraction form
    643,338,468/1,404,657,387 = 1,404,657,387/x
  3. Step 3: Cross multiply
    643,338,468x = 1,404,657,387 × 1,404,657,387
  4. Step 4: Simplify right side
    643,338,468x = 1,973,062,374,853,667,840
  5. Step 5: Solve for x
    x = 1,973,062,374,853,667,840/643,338,468
  6. Step 6: Final answer
    x = 3,066,911,855.88

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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.