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Finding the Third Proportional to 1,020,100 and 1,574,040

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Solution

The third proportional to 1,020,100 and 1,574,040 is: 2,428,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,100 : 1,574,040 = 1,574,040 : x
  2. Step 2: Convert to fraction form
    1,020,100/1,574,040 = 1,574,040/x
  3. Step 3: Cross multiply
    1,020,100x = 1,574,040 × 1,574,040
  4. Step 4: Simplify right side
    1,020,100x = 2,477,601,921,600
  5. Step 5: Solve for x
    x = 2,477,601,921,600/1,020,100
  6. Step 6: Final answer
    x = 2,428,783.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.