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Finding the Third Proportional to 557,839,380 and 1,216,121,280

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Solution

The third proportional to 557,839,380 and 1,216,121,280 is: 2,651,212,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,380 : 1,216,121,280 = 1,216,121,280 : x
  2. Step 2: Convert to fraction form
    557,839,380/1,216,121,280 = 1,216,121,280/x
  3. Step 3: Cross multiply
    557,839,380x = 1,216,121,280 × 1,216,121,280
  4. Step 4: Simplify right side
    557,839,380x = 1,478,950,967,668,838,400
  5. Step 5: Solve for x
    x = 1,478,950,967,668,838,400/557,839,380
  6. Step 6: Final answer
    x = 2,651,212,913.06

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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.