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Finding the Third Proportional to 127,584,138 and 278,260,140

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Solution

The third proportional to 127,584,138 and 278,260,140 is: 606,883,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584,138 : 278,260,140 = 278,260,140 : x
  2. Step 2: Convert to fraction form
    127,584,138/278,260,140 = 278,260,140/x
  3. Step 3: Cross multiply
    127,584,138x = 278,260,140 × 278,260,140
  4. Step 4: Simplify right side
    127,584,138x = 77,428,705,512,819,600
  5. Step 5: Solve for x
    x = 77,428,705,512,819,600/127,584,138
  6. Step 6: Final answer
    x = 606,883,478.83

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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.