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Finding the Third Proportional to 840,480 and 1,799,072

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Solution

The third proportional to 840,480 and 1,799,072 is: 3,850,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,480 : 1,799,072 = 1,799,072 : x
  2. Step 2: Convert to fraction form
    840,480/1,799,072 = 1,799,072/x
  3. Step 3: Cross multiply
    840,480x = 1,799,072 × 1,799,072
  4. Step 4: Simplify right side
    840,480x = 3,236,660,061,184
  5. Step 5: Solve for x
    x = 3,236,660,061,184/840,480
  6. Step 6: Final answer
    x = 3,850,966.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.