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Finding the Third Proportional to 245,888 and 348,240

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Solution

The third proportional to 245,888 and 348,240 is: 493,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,888 : 348,240 = 348,240 : x
  2. Step 2: Convert to fraction form
    245,888/348,240 = 348,240/x
  3. Step 3: Cross multiply
    245,888x = 348,240 × 348,240
  4. Step 4: Simplify right side
    245,888x = 121,271,097,600
  5. Step 5: Solve for x
    x = 121,271,097,600/245,888
  6. Step 6: Final answer
    x = 493,196.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.