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Finding the Third Proportional to 287,487 and 417,849.75

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Solution

The third proportional to 287,487 and 417,849.75 is: 607,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,487 : 417,849.75 = 417,849.75 : x
  2. Step 2: Convert to fraction form
    287,487/417,849.75 = 417,849.75/x
  3. Step 3: Cross multiply
    287,487x = 417,849.75 × 417,849.75
  4. Step 4: Simplify right side
    287,487x = 174,598,413,575.06
  5. Step 5: Solve for x
    x = 174,598,413,575.06/287,487
  6. Step 6: Final answer
    x = 607,326.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.