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Finding the Third Proportional to 113,920 and 249,286

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Solution

The third proportional to 113,920 and 249,286 is: 545,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,920 : 249,286 = 249,286 : x
  2. Step 2: Convert to fraction form
    113,920/249,286 = 249,286/x
  3. Step 3: Cross multiply
    113,920x = 249,286 × 249,286
  4. Step 4: Simplify right side
    113,920x = 62,143,509,796
  5. Step 5: Solve for x
    x = 62,143,509,796/113,920
  6. Step 6: Final answer
    x = 545,501.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.