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Finding the Third Proportional to 448,488 and 695,148

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Solution

The third proportional to 448,488 and 695,148 is: 1,077,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,488 : 695,148 = 695,148 : x
  2. Step 2: Convert to fraction form
    448,488/695,148 = 695,148/x
  3. Step 3: Cross multiply
    448,488x = 695,148 × 695,148
  4. Step 4: Simplify right side
    448,488x = 483,230,741,904
  5. Step 5: Solve for x
    x = 483,230,741,904/448,488
  6. Step 6: Final answer
    x = 1,077,466.38

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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.