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Finding the Third Proportional to 306,360 and 448,860

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Solution

The third proportional to 306,360 and 448,860 is: 657,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,360 : 448,860 = 448,860 : x
  2. Step 2: Convert to fraction form
    306,360/448,860 = 448,860/x
  3. Step 3: Cross multiply
    306,360x = 448,860 × 448,860
  4. Step 4: Simplify right side
    306,360x = 201,475,299,600
  5. Step 5: Solve for x
    x = 201,475,299,600/306,360
  6. Step 6: Final answer
    x = 657,642.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.