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Finding the Third Proportional to 145,635.19 and 311,509.13

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Solution

The third proportional to 145,635.19 and 311,509.13 is: 666,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,635.19 : 311,509.13 = 311,509.13 : x
  2. Step 2: Convert to fraction form
    145,635.19/311,509.13 = 311,509.13/x
  3. Step 3: Cross multiply
    145,635.19x = 311,509.13 × 311,509.13
  4. Step 4: Simplify right side
    145,635.19x = 97,037,934,958.27
  5. Step 5: Solve for x
    x = 97,037,934,958.27/145,635.19
  6. Step 6: Final answer
    x = 666,308.31

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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.