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Finding the Third Proportional to 30,159 and 64,459

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Solution

The third proportional to 30,159 and 64,459 is: 137,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 64,459 = 64,459 : x
  2. Step 2: Convert to fraction form
    30,159/64,459 = 64,459/x
  3. Step 3: Cross multiply
    30,159x = 64,459 × 64,459
  4. Step 4: Simplify right side
    30,159x = 4,154,962,681
  5. Step 5: Solve for x
    x = 4,154,962,681/30,159
  6. Step 6: Final answer
    x = 137,768.58

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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.