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Finding the Third Proportional to 179,640 and 249,772

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Solution

The third proportional to 179,640 and 249,772 is: 347,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640 : 249,772 = 249,772 : x
  2. Step 2: Convert to fraction form
    179,640/249,772 = 249,772/x
  3. Step 3: Cross multiply
    179,640x = 249,772 × 249,772
  4. Step 4: Simplify right side
    179,640x = 62,386,051,984
  5. Step 5: Solve for x
    x = 62,386,051,984/179,640
  6. Step 6: Final answer
    x = 347,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.