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Finding the Third Proportional to 68,784 and 139,776

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Solution

The third proportional to 68,784 and 139,776 is: 284,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,784 : 139,776 = 139,776 : x
  2. Step 2: Convert to fraction form
    68,784/139,776 = 139,776/x
  3. Step 3: Cross multiply
    68,784x = 139,776 × 139,776
  4. Step 4: Simplify right side
    68,784x = 19,537,330,176
  5. Step 5: Solve for x
    x = 19,537,330,176/68,784
  6. Step 6: Final answer
    x = 284,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.