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Finding the Third Proportional to 47,507 and 100,378

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Solution

The third proportional to 47,507 and 100,378 is: 212,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,507 : 100,378 = 100,378 : x
  2. Step 2: Convert to fraction form
    47,507/100,378 = 100,378/x
  3. Step 3: Cross multiply
    47,507x = 100,378 × 100,378
  4. Step 4: Simplify right side
    47,507x = 10,075,742,884
  5. Step 5: Solve for x
    x = 10,075,742,884/47,507
  6. Step 6: Final answer
    x = 212,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.