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Finding the Third Proportional to 921,565 and 2,020,278

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Solution

The third proportional to 921,565 and 2,020,278 is: 4,428,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,565 : 2,020,278 = 2,020,278 : x
  2. Step 2: Convert to fraction form
    921,565/2,020,278 = 2,020,278/x
  3. Step 3: Cross multiply
    921,565x = 2,020,278 × 2,020,278
  4. Step 4: Simplify right side
    921,565x = 4,081,523,197,284
  5. Step 5: Solve for x
    x = 4,081,523,197,284/921,565
  6. Step 6: Final answer
    x = 4,428,904.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.