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Finding the Third Proportional to 287,030 and 442,657

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Solution

The third proportional to 287,030 and 442,657 is: 682,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,030 : 442,657 = 442,657 : x
  2. Step 2: Convert to fraction form
    287,030/442,657 = 442,657/x
  3. Step 3: Cross multiply
    287,030x = 442,657 × 442,657
  4. Step 4: Simplify right side
    287,030x = 195,945,219,649
  5. Step 5: Solve for x
    x = 195,945,219,649/287,030
  6. Step 6: Final answer
    x = 682,664.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.