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Finding the Third Proportional to 583,137 and 870,201

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Solution

The third proportional to 583,137 and 870,201 is: 1,298,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,137 : 870,201 = 870,201 : x
  2. Step 2: Convert to fraction form
    583,137/870,201 = 870,201/x
  3. Step 3: Cross multiply
    583,137x = 870,201 × 870,201
  4. Step 4: Simplify right side
    583,137x = 757,249,780,401
  5. Step 5: Solve for x
    x = 757,249,780,401/583,137
  6. Step 6: Final answer
    x = 1,298,579.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.