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Finding the Third Proportional to 287,968 and 426,283

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Solution

The third proportional to 287,968 and 426,283 is: 631,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,968 : 426,283 = 426,283 : x
  2. Step 2: Convert to fraction form
    287,968/426,283 = 426,283/x
  3. Step 3: Cross multiply
    287,968x = 426,283 × 426,283
  4. Step 4: Simplify right side
    287,968x = 181,717,196,089
  5. Step 5: Solve for x
    x = 181,717,196,089/287,968
  6. Step 6: Final answer
    x = 631,032.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.