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Finding the Third Proportional to 144,434.81 and 211,303.69

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Solution

The third proportional to 144,434.81 and 211,303.69 is: 309,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,434.81 : 211,303.69 = 211,303.69 : x
  2. Step 2: Convert to fraction form
    144,434.81/211,303.69 = 211,303.69/x
  3. Step 3: Cross multiply
    144,434.81x = 211,303.69 × 211,303.69
  4. Step 4: Simplify right side
    144,434.81x = 44,649,248,351.10
  5. Step 5: Solve for x
    x = 44,649,248,351.10/144,434.81
  6. Step 6: Final answer
    x = 309,130.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.