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Finding the Third Proportional to 135,139,128.75 and 295,049,313

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Solution

The third proportional to 135,139,128.75 and 295,049,313 is: 644,181,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,128.75 : 295,049,313 = 295,049,313 : x
  2. Step 2: Convert to fraction form
    135,139,128.75/295,049,313 = 295,049,313/x
  3. Step 3: Cross multiply
    135,139,128.75x = 295,049,313 × 295,049,313
  4. Step 4: Simplify right side
    135,139,128.75x = 87,054,097,101,771,968
  5. Step 5: Solve for x
    x = 87,054,097,101,771,968/135,139,128.75
  6. Step 6: Final answer
    x = 644,181,281.22

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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.