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Finding the Third Proportional to 145,563 and 318,194

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Solution

The third proportional to 145,563 and 318,194 is: 695,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,563 : 318,194 = 318,194 : x
  2. Step 2: Convert to fraction form
    145,563/318,194 = 318,194/x
  3. Step 3: Cross multiply
    145,563x = 318,194 × 318,194
  4. Step 4: Simplify right side
    145,563x = 101,247,421,636
  5. Step 5: Solve for x
    x = 101,247,421,636/145,563
  6. Step 6: Final answer
    x = 695,557.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.