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Finding the Third Proportional to 4,487,784 and 9,872,760

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Solution

The third proportional to 4,487,784 and 9,872,760 is: 21,719,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487,784 : 9,872,760 = 9,872,760 : x
  2. Step 2: Convert to fraction form
    4,487,784/9,872,760 = 9,872,760/x
  3. Step 3: Cross multiply
    4,487,784x = 9,872,760 × 9,872,760
  4. Step 4: Simplify right side
    4,487,784x = 97,471,390,017,600
  5. Step 5: Solve for x
    x = 97,471,390,017,600/4,487,784
  6. Step 6: Final answer
    x = 21,719,269.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.