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Finding the Third Proportional to 19,742,559 and 30,509,997

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Solution

The third proportional to 19,742,559 and 30,509,997 is: 47,149,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742,559 : 30,509,997 = 30,509,997 : x
  2. Step 2: Convert to fraction form
    19,742,559/30,509,997 = 30,509,997/x
  3. Step 3: Cross multiply
    19,742,559x = 30,509,997 × 30,509,997
  4. Step 4: Simplify right side
    19,742,559x = 930,859,916,940,009
  5. Step 5: Solve for x
    x = 930,859,916,940,009/19,742,559
  6. Step 6: Final answer
    x = 47,149,911.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.