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Finding the Third Proportional to 145,603 and 318,148

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Solution

The third proportional to 145,603 and 318,148 is: 695,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,603 : 318,148 = 318,148 : x
  2. Step 2: Convert to fraction form
    145,603/318,148 = 318,148/x
  3. Step 3: Cross multiply
    145,603x = 318,148 × 318,148
  4. Step 4: Simplify right side
    145,603x = 101,218,149,904
  5. Step 5: Solve for x
    x = 101,218,149,904/145,603
  6. Step 6: Final answer
    x = 695,165.28

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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.