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Finding the Third Proportional to 181,598,140,145 and 390,146,028,863

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Solution

The third proportional to 181,598,140,145 and 390,146,028,863 is: 838,190,984,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,598,140,145 : 390,146,028,863 = 390,146,028,863 : x
  2. Step 2: Convert to fraction form
    181,598,140,145/390,146,028,863 = 390,146,028,863/x
  3. Step 3: Cross multiply
    181,598,140,145x = 390,146,028,863 × 390,146,028,863
  4. Step 4: Simplify right side
    181,598,140,145x = 152,213,923,837,568,838,795,264
  5. Step 5: Solve for x
    x = 152,213,923,837,568,838,795,264/181,598,140,145
  6. Step 6: Final answer
    x = 838,190,984,313.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.