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Finding the Third Proportional to 189,207 and 292,990.50

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Solution

The third proportional to 189,207 and 292,990.50 is: 453,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207 : 292,990.50 = 292,990.50 : x
  2. Step 2: Convert to fraction form
    189,207/292,990.50 = 292,990.50/x
  3. Step 3: Cross multiply
    189,207x = 292,990.50 × 292,990.50
  4. Step 4: Simplify right side
    189,207x = 85,843,433,090.25
  5. Step 5: Solve for x
    x = 85,843,433,090.25/189,207
  6. Step 6: Final answer
    x = 453,701.15

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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.