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Finding the Third Proportional to 134,120 and 249,220

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Solution

The third proportional to 134,120 and 249,220 is: 463,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,120 : 249,220 = 249,220 : x
  2. Step 2: Convert to fraction form
    134,120/249,220 = 249,220/x
  3. Step 3: Cross multiply
    134,120x = 249,220 × 249,220
  4. Step 4: Simplify right side
    134,120x = 62,110,608,400
  5. Step 5: Solve for x
    x = 62,110,608,400/134,120
  6. Step 6: Final answer
    x = 463,097.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.