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Finding the Third Proportional to 34,685 and 64,447

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Solution

The third proportional to 34,685 and 64,447 is: 119,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685 : 64,447 = 64,447 : x
  2. Step 2: Convert to fraction form
    34,685/64,447 = 64,447/x
  3. Step 3: Cross multiply
    34,685x = 64,447 × 64,447
  4. Step 4: Simplify right side
    34,685x = 4,153,415,809
  5. Step 5: Solve for x
    x = 4,153,415,809/34,685
  6. Step 6: Final answer
    x = 119,746.74

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.