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Finding the Third Proportional to 583,139 and 870,211

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Solution

The third proportional to 583,139 and 870,211 is: 1,298,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,139 : 870,211 = 870,211 : x
  2. Step 2: Convert to fraction form
    583,139/870,211 = 870,211/x
  3. Step 3: Cross multiply
    583,139x = 870,211 × 870,211
  4. Step 4: Simplify right side
    583,139x = 757,267,184,521
  5. Step 5: Solve for x
    x = 757,267,184,521/583,139
  6. Step 6: Final answer
    x = 1,298,604.94

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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.