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Finding the Third Proportional to 907,515 and 1,271,871

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Solution

The third proportional to 907,515 and 1,271,871 is: 1,782,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,515 : 1,271,871 = 1,271,871 : x
  2. Step 2: Convert to fraction form
    907,515/1,271,871 = 1,271,871/x
  3. Step 3: Cross multiply
    907,515x = 1,271,871 × 1,271,871
  4. Step 4: Simplify right side
    907,515x = 1,617,655,840,641
  5. Step 5: Solve for x
    x = 1,617,655,840,641/907,515
  6. Step 6: Final answer
    x = 1,782,511.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.