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Finding the Third Proportional to 139,640,043 and 293,751,465

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Solution

The third proportional to 139,640,043 and 293,751,465 is: 617,945,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,640,043 : 293,751,465 = 293,751,465 : x
  2. Step 2: Convert to fraction form
    139,640,043/293,751,465 = 293,751,465/x
  3. Step 3: Cross multiply
    139,640,043x = 293,751,465 × 293,751,465
  4. Step 4: Simplify right side
    139,640,043x = 86,289,923,189,646,224
  5. Step 5: Solve for x
    x = 86,289,923,189,646,224/139,640,043
  6. Step 6: Final answer
    x = 617,945,406.89

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Why These Related Problems?

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