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Finding the Third Proportional to 127,776 and 278,880

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Solution

The third proportional to 127,776 and 278,880 is: 608,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776 : 278,880 = 278,880 : x
  2. Step 2: Convert to fraction form
    127,776/278,880 = 278,880/x
  3. Step 3: Cross multiply
    127,776x = 278,880 × 278,880
  4. Step 4: Simplify right side
    127,776x = 77,774,054,400
  5. Step 5: Solve for x
    x = 77,774,054,400/127,776
  6. Step 6: Final answer
    x = 608,674.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.