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Finding the Third Proportional to 287,047 and 617,970

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Solution

The third proportional to 287,047 and 617,970 is: 1,330,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,047 : 617,970 = 617,970 : x
  2. Step 2: Convert to fraction form
    287,047/617,970 = 617,970/x
  3. Step 3: Cross multiply
    287,047x = 617,970 × 617,970
  4. Step 4: Simplify right side
    287,047x = 381,886,920,900
  5. Step 5: Solve for x
    x = 381,886,920,900/287,047
  6. Step 6: Final answer
    x = 1,330,398.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.