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Finding the Third Proportional to 30,569 and 64,465

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Solution

The third proportional to 30,569 and 64,465 is: 135,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569 : 64,465 = 64,465 : x
  2. Step 2: Convert to fraction form
    30,569/64,465 = 64,465/x
  3. Step 3: Cross multiply
    30,569x = 64,465 × 64,465
  4. Step 4: Simplify right side
    30,569x = 4,155,736,225
  5. Step 5: Solve for x
    x = 4,155,736,225/30,569
  6. Step 6: Final answer
    x = 135,946.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.