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Finding the Third Proportional to 1,235,657 and 2,660,915

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Solution

The third proportional to 1,235,657 and 2,660,915 is: 5,730,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,657 : 2,660,915 = 2,660,915 : x
  2. Step 2: Convert to fraction form
    1,235,657/2,660,915 = 2,660,915/x
  3. Step 3: Cross multiply
    1,235,657x = 2,660,915 × 2,660,915
  4. Step 4: Simplify right side
    1,235,657x = 7,080,468,637,225
  5. Step 5: Solve for x
    x = 7,080,468,637,225/1,235,657
  6. Step 6: Final answer
    x = 5,730,124.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.