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Finding the Third Proportional to 7,776 and 19,332

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Solution

The third proportional to 7,776 and 19,332 is: 48,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 19,332 = 19,332 : x
  2. Step 2: Convert to fraction form
    7,776/19,332 = 19,332/x
  3. Step 3: Cross multiply
    7,776x = 19,332 × 19,332
  4. Step 4: Simplify right side
    7,776x = 373,726,224
  5. Step 5: Solve for x
    x = 373,726,224/7,776
  6. Step 6: Final answer
    x = 48,061.50

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.