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Finding the Third Proportional to 287,526 and 623,922

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Solution

The third proportional to 287,526 and 623,922 is: 1,353,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,526 : 623,922 = 623,922 : x
  2. Step 2: Convert to fraction form
    287,526/623,922 = 623,922/x
  3. Step 3: Cross multiply
    287,526x = 623,922 × 623,922
  4. Step 4: Simplify right side
    287,526x = 389,278,662,084
  5. Step 5: Solve for x
    x = 389,278,662,084/287,526
  6. Step 6: Final answer
    x = 1,353,890.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.