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Finding the Third Proportional to 178,782,688 and 273,372,292

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Solution

The third proportional to 178,782,688 and 273,372,292 is: 418,006,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,782,688 : 273,372,292 = 273,372,292 : x
  2. Step 2: Convert to fraction form
    178,782,688/273,372,292 = 273,372,292/x
  3. Step 3: Cross multiply
    178,782,688x = 273,372,292 × 273,372,292
  4. Step 4: Simplify right side
    178,782,688x = 74,732,410,033,333,264
  5. Step 5: Solve for x
    x = 74,732,410,033,333,264/178,782,688
  6. Step 6: Final answer
    x = 418,006,971.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.