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Finding the Third Proportional to 55,445,169,546 and 121,050,546,228

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Solution

The third proportional to 55,445,169,546 and 121,050,546,228 is: 264,283,342,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,445,169,546 : 121,050,546,228 = 121,050,546,228 : x
  2. Step 2: Convert to fraction form
    55,445,169,546/121,050,546,228 = 121,050,546,228/x
  3. Step 3: Cross multiply
    55,445,169,546x = 121,050,546,228 × 121,050,546,228
  4. Step 4: Simplify right side
    55,445,169,546x = 14,653,234,742,097,164,107,776
  5. Step 5: Solve for x
    x = 14,653,234,742,097,164,107,776/55,445,169,546
  6. Step 6: Final answer
    x = 264,283,342,662.34

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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.