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Finding the Third Proportional to 287,411.63 and 623,725.31

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Solution

The third proportional to 287,411.63 and 623,725.31 is: 1,353,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,411.63 : 623,725.31 = 623,725.31 : x
  2. Step 2: Convert to fraction form
    287,411.63/623,725.31 = 623,725.31/x
  3. Step 3: Cross multiply
    287,411.63x = 623,725.31 × 623,725.31
  4. Step 4: Simplify right side
    287,411.63x = 389,033,265,453.22
  5. Step 5: Solve for x
    x = 389,033,265,453.22/287,411.63
  6. Step 6: Final answer
    x = 1,353,575.26

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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.