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Finding the Third Proportional to 3,030.19 and 4,678.59

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Solution

The third proportional to 3,030.19 and 4,678.59 is: 7,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.19 : 4,678.59 = 4,678.59 : x
  2. Step 2: Convert to fraction form
    3,030.19/4,678.59 = 4,678.59/x
  3. Step 3: Cross multiply
    3,030.19x = 4,678.59 × 4,678.59
  4. Step 4: Simplify right side
    3,030.19x = 21,889,239.48
  5. Step 5: Solve for x
    x = 21,889,239.48/3,030.19
  6. Step 6: Final answer
    x = 7,223.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.