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Finding the Third Proportional to 30,302.50 and 64,817

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Solution

The third proportional to 30,302.50 and 64,817 is: 138,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.50 : 64,817 = 64,817 : x
  2. Step 2: Convert to fraction form
    30,302.50/64,817 = 64,817/x
  3. Step 3: Cross multiply
    30,302.50x = 64,817 × 64,817
  4. Step 4: Simplify right side
    30,302.50x = 4,201,243,489
  5. Step 5: Solve for x
    x = 4,201,243,489/30,302.50
  6. Step 6: Final answer
    x = 138,643.46

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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.