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Finding the Third Proportional to 98,130,308,178 and 213,454,061,790

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Solution

The third proportional to 98,130,308,178 and 213,454,061,790 is: 464,307,484,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,130,308,178 : 213,454,061,790 = 213,454,061,790 : x
  2. Step 2: Convert to fraction form
    98,130,308,178/213,454,061,790 = 213,454,061,790/x
  3. Step 3: Cross multiply
    98,130,308,178x = 213,454,061,790 × 213,454,061,790
  4. Step 4: Simplify right side
    98,130,308,178x = 45,562,636,494,649,138,610,176
  5. Step 5: Solve for x
    x = 45,562,636,494,649,138,610,176/98,130,308,178
  6. Step 6: Final answer
    x = 464,307,484,003.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.