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Finding the Third Proportional to 145,168 and 212,784

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Solution

The third proportional to 145,168 and 212,784 is: 311,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,168 : 212,784 = 212,784 : x
  2. Step 2: Convert to fraction form
    145,168/212,784 = 212,784/x
  3. Step 3: Cross multiply
    145,168x = 212,784 × 212,784
  4. Step 4: Simplify right side
    145,168x = 45,277,030,656
  5. Step 5: Solve for x
    x = 45,277,030,656/145,168
  6. Step 6: Final answer
    x = 311,894.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.