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Finding the Third Proportional to 492,186 and 803,688

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Solution

The third proportional to 492,186 and 803,688 is: 1,312,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,186 : 803,688 = 803,688 : x
  2. Step 2: Convert to fraction form
    492,186/803,688 = 803,688/x
  3. Step 3: Cross multiply
    492,186x = 803,688 × 803,688
  4. Step 4: Simplify right side
    492,186x = 645,914,401,344
  5. Step 5: Solve for x
    x = 645,914,401,344/492,186
  6. Step 6: Final answer
    x = 1,312,338.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.