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Finding the Third Proportional to 491,592,936 and 1,053,304,848

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Solution

The third proportional to 491,592,936 and 1,053,304,848 is: 2,256,849,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,936 : 1,053,304,848 = 1,053,304,848 : x
  2. Step 2: Convert to fraction form
    491,592,936/1,053,304,848 = 1,053,304,848/x
  3. Step 3: Cross multiply
    491,592,936x = 1,053,304,848 × 1,053,304,848
  4. Step 4: Simplify right side
    491,592,936x = 1,109,451,102,820,303,104
  5. Step 5: Solve for x
    x = 1,109,451,102,820,303,104/491,592,936
  6. Step 6: Final answer
    x = 2,256,849,156.23

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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.