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Finding the Third Proportional to 388,253 and 837,778

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Solution

The third proportional to 388,253 and 837,778 is: 1,807,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,253 : 837,778 = 837,778 : x
  2. Step 2: Convert to fraction form
    388,253/837,778 = 837,778/x
  3. Step 3: Cross multiply
    388,253x = 837,778 × 837,778
  4. Step 4: Simplify right side
    388,253x = 701,871,977,284
  5. Step 5: Solve for x
    x = 701,871,977,284/388,253
  6. Step 6: Final answer
    x = 1,807,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.