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Finding the Third Proportional to 21,190,721 and 45,768,538

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Solution

The third proportional to 21,190,721 and 45,768,538 is: 98,852,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190,721 : 45,768,538 = 45,768,538 : x
  2. Step 2: Convert to fraction form
    21,190,721/45,768,538 = 45,768,538/x
  3. Step 3: Cross multiply
    21,190,721x = 45,768,538 × 45,768,538
  4. Step 4: Simplify right side
    21,190,721x = 2,094,759,070,657,444
  5. Step 5: Solve for x
    x = 2,094,759,070,657,444/21,190,721
  6. Step 6: Final answer
    x = 98,852,656.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.