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Finding the Third Proportional to 64,010 and 99,639

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Solution

The third proportional to 64,010 and 99,639 is: 155,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,010 : 99,639 = 99,639 : x
  2. Step 2: Convert to fraction form
    64,010/99,639 = 99,639/x
  3. Step 3: Cross multiply
    64,010x = 99,639 × 99,639
  4. Step 4: Simplify right side
    64,010x = 9,927,930,321
  5. Step 5: Solve for x
    x = 9,927,930,321/64,010
  6. Step 6: Final answer
    x = 155,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.