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Finding the Third Proportional to 189,130 and 292,838

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Solution

The third proportional to 189,130 and 292,838 is: 453,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,130 : 292,838 = 292,838 : x
  2. Step 2: Convert to fraction form
    189,130/292,838 = 292,838/x
  3. Step 3: Cross multiply
    189,130x = 292,838 × 292,838
  4. Step 4: Simplify right side
    189,130x = 85,754,094,244
  5. Step 5: Solve for x
    x = 85,754,094,244/189,130
  6. Step 6: Final answer
    x = 453,413.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.