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Finding the Third Proportional to 142,582 and 303,511

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Solution

The third proportional to 142,582 and 303,511 is: 646,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,582 : 303,511 = 303,511 : x
  2. Step 2: Convert to fraction form
    142,582/303,511 = 303,511/x
  3. Step 3: Cross multiply
    142,582x = 303,511 × 303,511
  4. Step 4: Simplify right side
    142,582x = 92,118,927,121
  5. Step 5: Solve for x
    x = 92,118,927,121/142,582
  6. Step 6: Final answer
    x = 646,076.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.