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Finding the Third Proportional to 287,757 and 450,421

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Solution

The third proportional to 287,757 and 450,421 is: 705,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,757 : 450,421 = 450,421 : x
  2. Step 2: Convert to fraction form
    287,757/450,421 = 450,421/x
  3. Step 3: Cross multiply
    287,757x = 450,421 × 450,421
  4. Step 4: Simplify right side
    287,757x = 202,879,077,241
  5. Step 5: Solve for x
    x = 202,879,077,241/287,757
  6. Step 6: Final answer
    x = 705,036.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.