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Finding the Third Proportional to 187,164,812 and 290,953,890

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Solution

The third proportional to 187,164,812 and 290,953,890 is: 452,297,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,164,812 : 290,953,890 = 290,953,890 : x
  2. Step 2: Convert to fraction form
    187,164,812/290,953,890 = 290,953,890/x
  3. Step 3: Cross multiply
    187,164,812x = 290,953,890 × 290,953,890
  4. Step 4: Simplify right side
    187,164,812x = 84,654,166,106,132,096
  5. Step 5: Solve for x
    x = 84,654,166,106,132,096/187,164,812
  6. Step 6: Final answer
    x = 452,297,444.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.