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Finding the Third Proportional to 221,445,056 and 517,395,569

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Solution

The third proportional to 221,445,056 and 517,395,569 is: 1,208,869,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,445,056 : 517,395,569 = 517,395,569 : x
  2. Step 2: Convert to fraction form
    221,445,056/517,395,569 = 517,395,569/x
  3. Step 3: Cross multiply
    221,445,056x = 517,395,569 × 517,395,569
  4. Step 4: Simplify right side
    221,445,056x = 267,698,174,820,833,760
  5. Step 5: Solve for x
    x = 267,698,174,820,833,760/221,445,056
  6. Step 6: Final answer
    x = 1,208,869,503.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.