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Finding the Third Proportional to 100,791,880,761 and 215,960,346,888

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Solution

The third proportional to 100,791,880,761 and 215,960,346,888 is: 462,724,488,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791,880,761 : 215,960,346,888 = 215,960,346,888 : x
  2. Step 2: Convert to fraction form
    100,791,880,761/215,960,346,888 = 215,960,346,888/x
  3. Step 3: Cross multiply
    100,791,880,761x = 215,960,346,888 × 215,960,346,888
  4. Step 4: Simplify right side
    100,791,880,761x = 46,638,871,427,985,289,773,056
  5. Step 5: Solve for x
    x = 46,638,871,427,985,289,773,056/100,791,880,761
  6. Step 6: Final answer
    x = 462,724,488,082.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.