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Finding the Third Proportional to 9,727,902 and 21,117,276

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Solution

The third proportional to 9,727,902 and 21,117,276 is: 45,841,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727,902 : 21,117,276 = 21,117,276 : x
  2. Step 2: Convert to fraction form
    9,727,902/21,117,276 = 21,117,276/x
  3. Step 3: Cross multiply
    9,727,902x = 21,117,276 × 21,117,276
  4. Step 4: Simplify right side
    9,727,902x = 445,939,345,660,176
  5. Step 5: Solve for x
    x = 445,939,345,660,176/9,727,902
  6. Step 6: Final answer
    x = 45,841,266.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.