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Finding the Third Proportional to 99,507 and 208,237

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Solution

The third proportional to 99,507 and 208,237 is: 435,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,507 : 208,237 = 208,237 : x
  2. Step 2: Convert to fraction form
    99,507/208,237 = 208,237/x
  3. Step 3: Cross multiply
    99,507x = 208,237 × 208,237
  4. Step 4: Simplify right side
    99,507x = 43,362,648,169
  5. Step 5: Solve for x
    x = 43,362,648,169/99,507
  6. Step 6: Final answer
    x = 435,774.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.