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Finding the Third Proportional to 448,478 and 695,133

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Solution

The third proportional to 448,478 and 695,133 is: 1,077,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,478 : 695,133 = 695,133 : x
  2. Step 2: Convert to fraction form
    448,478/695,133 = 695,133/x
  3. Step 3: Cross multiply
    448,478x = 695,133 × 695,133
  4. Step 4: Simplify right side
    448,478x = 483,209,887,689
  5. Step 5: Solve for x
    x = 483,209,887,689/448,478
  6. Step 6: Final answer
    x = 1,077,443.91

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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.