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Finding the Third Proportional to 7,225,600 and 10,638,784

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Solution

The third proportional to 7,225,600 and 10,638,784 is: 15,664,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225,600 : 10,638,784 = 10,638,784 : x
  2. Step 2: Convert to fraction form
    7,225,600/10,638,784 = 10,638,784/x
  3. Step 3: Cross multiply
    7,225,600x = 10,638,784 × 10,638,784
  4. Step 4: Simplify right side
    7,225,600x = 113,183,724,998,656
  5. Step 5: Solve for x
    x = 113,183,724,998,656/7,225,600
  6. Step 6: Final answer
    x = 15,664,266.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.