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Finding the Third Proportional to 145,685 and 311,629

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Solution

The third proportional to 145,685 and 311,629 is: 666,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,685 : 311,629 = 311,629 : x
  2. Step 2: Convert to fraction form
    145,685/311,629 = 311,629/x
  3. Step 3: Cross multiply
    145,685x = 311,629 × 311,629
  4. Step 4: Simplify right side
    145,685x = 97,112,633,641
  5. Step 5: Solve for x
    x = 97,112,633,641/145,685
  6. Step 6: Final answer
    x = 666,593.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.