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Finding the Third Proportional to 402,445 and 837,890

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Solution

The third proportional to 402,445 and 837,890 is: 1,744,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,445 : 837,890 = 837,890 : x
  2. Step 2: Convert to fraction form
    402,445/837,890 = 837,890/x
  3. Step 3: Cross multiply
    402,445x = 837,890 × 837,890
  4. Step 4: Simplify right side
    402,445x = 702,059,652,100
  5. Step 5: Solve for x
    x = 702,059,652,100/402,445
  6. Step 6: Final answer
    x = 1,744,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.