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Finding the Third Proportional to 199,191,706.50 and 312,434,022.50

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Solution

The third proportional to 199,191,706.50 and 312,434,022.50 is: 490,055,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,191,706.50 : 312,434,022.50 = 312,434,022.50 : x
  2. Step 2: Convert to fraction form
    199,191,706.50/312,434,022.50 = 312,434,022.50/x
  3. Step 3: Cross multiply
    199,191,706.50x = 312,434,022.50 × 312,434,022.50
  4. Step 4: Simplify right side
    199,191,706.50x = 97,615,018,415,530,512
  5. Step 5: Solve for x
    x = 97,615,018,415,530,512/199,191,706.50
  6. Step 6: Final answer
    x = 490,055,636.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.