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Finding the Third Proportional to 670,487 and 1,427,395

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Solution

The third proportional to 670,487 and 1,427,395 is: 3,038,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,487 : 1,427,395 = 1,427,395 : x
  2. Step 2: Convert to fraction form
    670,487/1,427,395 = 1,427,395/x
  3. Step 3: Cross multiply
    670,487x = 1,427,395 × 1,427,395
  4. Step 4: Simplify right side
    670,487x = 2,037,456,486,025
  5. Step 5: Solve for x
    x = 2,037,456,486,025/670,487
  6. Step 6: Final answer
    x = 3,038,771.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.