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Finding the Third Proportional to 292,054 and 450,978

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Solution

The third proportional to 292,054 and 450,978 is: 696,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,054 : 450,978 = 450,978 : x
  2. Step 2: Convert to fraction form
    292,054/450,978 = 450,978/x
  3. Step 3: Cross multiply
    292,054x = 450,978 × 450,978
  4. Step 4: Simplify right side
    292,054x = 203,381,156,484
  5. Step 5: Solve for x
    x = 203,381,156,484/292,054
  6. Step 6: Final answer
    x = 696,382.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.