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Finding the Third Proportional to 682,590 and 918,901.50

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Solution

The third proportional to 682,590 and 918,901.50 is: 1,237,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,590 : 918,901.50 = 918,901.50 : x
  2. Step 2: Convert to fraction form
    682,590/918,901.50 = 918,901.50/x
  3. Step 3: Cross multiply
    682,590x = 918,901.50 × 918,901.50
  4. Step 4: Simplify right side
    682,590x = 844,379,966,702.25
  5. Step 5: Solve for x
    x = 844,379,966,702.25/682,590
  6. Step 6: Final answer
    x = 1,237,023.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.