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Finding the Third Proportional to 492,085 and 628,776

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Solution

The third proportional to 492,085 and 628,776 is: 803,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085 : 628,776 = 628,776 : x
  2. Step 2: Convert to fraction form
    492,085/628,776 = 628,776/x
  3. Step 3: Cross multiply
    492,085x = 628,776 × 628,776
  4. Step 4: Simplify right side
    492,085x = 395,359,258,176
  5. Step 5: Solve for x
    x = 395,359,258,176/492,085
  6. Step 6: Final answer
    x = 803,436.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.