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Finding the Third Proportional to 127,712 and 278,752

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Solution

The third proportional to 127,712 and 278,752 is: 608,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712 : 278,752 = 278,752 : x
  2. Step 2: Convert to fraction form
    127,712/278,752 = 278,752/x
  3. Step 3: Cross multiply
    127,712x = 278,752 × 278,752
  4. Step 4: Simplify right side
    127,712x = 77,702,677,504
  5. Step 5: Solve for x
    x = 77,702,677,504/127,712
  6. Step 6: Final answer
    x = 608,421.12

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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.