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Finding the Third Proportional to 122,258 and 249,700

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Solution

The third proportional to 122,258 and 249,700 is: 509,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,258 : 249,700 = 249,700 : x
  2. Step 2: Convert to fraction form
    122,258/249,700 = 249,700/x
  3. Step 3: Cross multiply
    122,258x = 249,700 × 249,700
  4. Step 4: Simplify right side
    122,258x = 62,350,090,000
  5. Step 5: Solve for x
    x = 62,350,090,000/122,258
  6. Step 6: Final answer
    x = 509,987.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.