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Finding the Third Proportional to 136,100.25 and 312,386.63

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Solution

The third proportional to 136,100.25 and 312,386.63 is: 717,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100.25 : 312,386.63 = 312,386.63 : x
  2. Step 2: Convert to fraction form
    136,100.25/312,386.63 = 312,386.63/x
  3. Step 3: Cross multiply
    136,100.25x = 312,386.63 × 312,386.63
  4. Step 4: Simplify right side
    136,100.25x = 97,585,403,478.89
  5. Step 5: Solve for x
    x = 97,585,403,478.89/136,100.25
  6. Step 6: Final answer
    x = 717,011.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.