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Finding the Third Proportional to 144,480 and 191,709

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Solution

The third proportional to 144,480 and 191,709 is: 254,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480 : 191,709 = 191,709 : x
  2. Step 2: Convert to fraction form
    144,480/191,709 = 191,709/x
  3. Step 3: Cross multiply
    144,480x = 191,709 × 191,709
  4. Step 4: Simplify right side
    144,480x = 36,752,340,681
  5. Step 5: Solve for x
    x = 36,752,340,681/144,480
  6. Step 6: Final answer
    x = 254,376.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.