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Finding the Third Proportional to 127,543.50 and 278,051.63

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Solution

The third proportional to 127,543.50 and 278,051.63 is: 606,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,543.50 : 278,051.63 = 278,051.63 : x
  2. Step 2: Convert to fraction form
    127,543.50/278,051.63 = 278,051.63/x
  3. Step 3: Cross multiply
    127,543.50x = 278,051.63 × 278,051.63
  4. Step 4: Simplify right side
    127,543.50x = 77,312,706,165.14
  5. Step 5: Solve for x
    x = 77,312,706,165.14/127,543.50
  6. Step 6: Final answer
    x = 606,167.36

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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.