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Finding the Third Proportional to 124,124,914.50 and 261,113,284.50

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Solution

The third proportional to 124,124,914.50 and 261,113,284.50 is: 549,286,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,124,914.50 : 261,113,284.50 = 261,113,284.50 : x
  2. Step 2: Convert to fraction form
    124,124,914.50/261,113,284.50 = 261,113,284.50/x
  3. Step 3: Cross multiply
    124,124,914.50x = 261,113,284.50 × 261,113,284.50
  4. Step 4: Simplify right side
    124,124,914.50x = 68,180,147,342,377,944
  5. Step 5: Solve for x
    x = 68,180,147,342,377,944/124,124,914.50
  6. Step 6: Final answer
    x = 549,286,560.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.