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Finding the Third Proportional to 163,455 and 249,936

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Solution

The third proportional to 163,455 and 249,936 is: 382,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,455 : 249,936 = 249,936 : x
  2. Step 2: Convert to fraction form
    163,455/249,936 = 249,936/x
  3. Step 3: Cross multiply
    163,455x = 249,936 × 249,936
  4. Step 4: Simplify right side
    163,455x = 62,468,004,096
  5. Step 5: Solve for x
    x = 62,468,004,096/163,455
  6. Step 6: Final answer
    x = 382,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.