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Finding the Third Proportional to 9,720,984 and 21,272,784

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Solution

The third proportional to 9,720,984 and 21,272,784 is: 46,552,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,984 : 21,272,784 = 21,272,784 : x
  2. Step 2: Convert to fraction form
    9,720,984/21,272,784 = 21,272,784/x
  3. Step 3: Cross multiply
    9,720,984x = 21,272,784 × 21,272,784
  4. Step 4: Simplify right side
    9,720,984x = 452,531,339,110,656
  5. Step 5: Solve for x
    x = 452,531,339,110,656/9,720,984
  6. Step 6: Final answer
    x = 46,552,009.46

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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.