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Finding the Third Proportional to 259,200 and 370,656

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Solution

The third proportional to 259,200 and 370,656 is: 530,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,200 : 370,656 = 370,656 : x
  2. Step 2: Convert to fraction form
    259,200/370,656 = 370,656/x
  3. Step 3: Cross multiply
    259,200x = 370,656 × 370,656
  4. Step 4: Simplify right side
    259,200x = 137,385,870,336
  5. Step 5: Solve for x
    x = 137,385,870,336/259,200
  6. Step 6: Final answer
    x = 530,038.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.