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Finding the Third Proportional to 106,280,270,368 and 234,223,845,179

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Solution

The third proportional to 106,280,270,368 and 234,223,845,179 is: 516,189,970,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,280,270,368 : 234,223,845,179 = 234,223,845,179 : x
  2. Step 2: Convert to fraction form
    106,280,270,368/234,223,845,179 = 234,223,845,179/x
  3. Step 3: Cross multiply
    106,280,270,368x = 234,223,845,179 × 234,223,845,179
  4. Step 4: Simplify right side
    106,280,270,368x = 54,860,809,650,436,164,288,512
  5. Step 5: Solve for x
    x = 54,860,809,650,436,164,288,512/106,280,270,368
  6. Step 6: Final answer
    x = 516,189,970,730.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.