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Finding the Third Proportional to 8,724,724 and 18,636,948

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Solution

The third proportional to 8,724,724 and 18,636,948 is: 39,810,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724,724 : 18,636,948 = 18,636,948 : x
  2. Step 2: Convert to fraction form
    8,724,724/18,636,948 = 18,636,948/x
  3. Step 3: Cross multiply
    8,724,724x = 18,636,948 × 18,636,948
  4. Step 4: Simplify right side
    8,724,724x = 347,335,830,754,704
  5. Step 5: Solve for x
    x = 347,335,830,754,704/8,724,724
  6. Step 6: Final answer
    x = 39,810,523.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.