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Finding the Third Proportional to 9,720,986 and 21,272,788

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Solution

The third proportional to 9,720,986 and 21,272,788 is: 46,552,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,986 : 21,272,788 = 21,272,788 : x
  2. Step 2: Convert to fraction form
    9,720,986/21,272,788 = 21,272,788/x
  3. Step 3: Cross multiply
    9,720,986x = 21,272,788 × 21,272,788
  4. Step 4: Simplify right side
    9,720,986x = 452,531,509,292,944
  5. Step 5: Solve for x
    x = 452,531,509,292,944/9,720,986
  6. Step 6: Final answer
    x = 46,552,017.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.