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Finding the Third Proportional to 189,985 and 296,480

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Solution

The third proportional to 189,985 and 296,480 is: 462,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,985 : 296,480 = 296,480 : x
  2. Step 2: Convert to fraction form
    189,985/296,480 = 296,480/x
  3. Step 3: Cross multiply
    189,985x = 296,480 × 296,480
  4. Step 4: Simplify right side
    189,985x = 87,900,390,400
  5. Step 5: Solve for x
    x = 87,900,390,400/189,985
  6. Step 6: Final answer
    x = 462,670.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.