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Finding the Third Proportional to 643,338,479 and 1,404,657,400

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Solution

The third proportional to 643,338,479 and 1,404,657,400 is: 3,066,911,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,338,479 : 1,404,657,400 = 1,404,657,400 : x
  2. Step 2: Convert to fraction form
    643,338,479/1,404,657,400 = 1,404,657,400/x
  3. Step 3: Cross multiply
    643,338,479x = 1,404,657,400 × 1,404,657,400
  4. Step 4: Simplify right side
    643,338,479x = 1,973,062,411,374,759,936
  5. Step 5: Solve for x
    x = 1,973,062,411,374,759,936/643,338,479
  6. Step 6: Final answer
    x = 3,066,911,860.21

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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.