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Finding the Third Proportional to 101,773,252,428 and 223,735,417,026

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Solution

The third proportional to 101,773,252,428 and 223,735,417,026 is: 491,853,563,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,773,252,428 : 223,735,417,026 = 223,735,417,026 : x
  2. Step 2: Convert to fraction form
    101,773,252,428/223,735,417,026 = 223,735,417,026/x
  3. Step 3: Cross multiply
    101,773,252,428x = 223,735,417,026 × 223,735,417,026
  4. Step 4: Simplify right side
    101,773,252,428x = 50,057,536,831,798,126,837,760
  5. Step 5: Solve for x
    x = 50,057,536,831,798,126,837,760/101,773,252,428
  6. Step 6: Final answer
    x = 491,853,563,068.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.