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Finding the Third Proportional to 287,076 and 620,072

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Solution

The third proportional to 287,076 and 620,072 is: 1,339,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,076 : 620,072 = 620,072 : x
  2. Step 2: Convert to fraction form
    287,076/620,072 = 620,072/x
  3. Step 3: Cross multiply
    287,076x = 620,072 × 620,072
  4. Step 4: Simplify right side
    287,076x = 384,489,285,184
  5. Step 5: Solve for x
    x = 384,489,285,184/287,076
  6. Step 6: Final answer
    x = 1,339,329.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.