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Finding the Third Proportional to 66,507 and 143,565

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Solution

The third proportional to 66,507 and 143,565 is: 309,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507 : 143,565 = 143,565 : x
  2. Step 2: Convert to fraction form
    66,507/143,565 = 143,565/x
  3. Step 3: Cross multiply
    66,507x = 143,565 × 143,565
  4. Step 4: Simplify right side
    66,507x = 20,610,909,225
  5. Step 5: Solve for x
    x = 20,610,909,225/66,507
  6. Step 6: Final answer
    x = 309,905.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.