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Finding the Third Proportional to 1,292,128 and 1,925,565

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Solution

The third proportional to 1,292,128 and 1,925,565 is: 2,869,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,128 : 1,925,565 = 1,925,565 : x
  2. Step 2: Convert to fraction form
    1,292,128/1,925,565 = 1,925,565/x
  3. Step 3: Cross multiply
    1,292,128x = 1,925,565 × 1,925,565
  4. Step 4: Simplify right side
    1,292,128x = 3,707,800,569,225
  5. Step 5: Solve for x
    x = 3,707,800,569,225/1,292,128
  6. Step 6: Final answer
    x = 2,869,530.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.