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Finding the Third Proportional to 840,470 and 1,261,565

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Solution

The third proportional to 840,470 and 1,261,565 is: 1,893,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,470 : 1,261,565 = 1,261,565 : x
  2. Step 2: Convert to fraction form
    840,470/1,261,565 = 1,261,565/x
  3. Step 3: Cross multiply
    840,470x = 1,261,565 × 1,261,565
  4. Step 4: Simplify right side
    840,470x = 1,591,546,249,225
  5. Step 5: Solve for x
    x = 1,591,546,249,225/840,470
  6. Step 6: Final answer
    x = 1,893,638.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.