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Finding the Third Proportional to 142,980.19 and 304,959.94

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Solution

The third proportional to 142,980.19 and 304,959.94 is: 650,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.19 : 304,959.94 = 304,959.94 : x
  2. Step 2: Convert to fraction form
    142,980.19/304,959.94 = 304,959.94/x
  3. Step 3: Cross multiply
    142,980.19x = 304,959.94 × 304,959.94
  4. Step 4: Simplify right side
    142,980.19x = 93,000,563,480.00
  5. Step 5: Solve for x
    x = 93,000,563,480.00/142,980.19
  6. Step 6: Final answer
    x = 650,443.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.