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Finding the Third Proportional to 147,288 and 312,090

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Solution

The third proportional to 147,288 and 312,090 is: 661,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,288 : 312,090 = 312,090 : x
  2. Step 2: Convert to fraction form
    147,288/312,090 = 312,090/x
  3. Step 3: Cross multiply
    147,288x = 312,090 × 312,090
  4. Step 4: Simplify right side
    147,288x = 97,400,168,100
  5. Step 5: Solve for x
    x = 97,400,168,100/147,288
  6. Step 6: Final answer
    x = 661,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.