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Finding the Third Proportional to 480,896 and 1,045,384

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Solution

The third proportional to 480,896 and 1,045,384 is: 2,272,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,896 : 1,045,384 = 1,045,384 : x
  2. Step 2: Convert to fraction form
    480,896/1,045,384 = 1,045,384/x
  3. Step 3: Cross multiply
    480,896x = 1,045,384 × 1,045,384
  4. Step 4: Simplify right side
    480,896x = 1,092,827,707,456
  5. Step 5: Solve for x
    x = 1,092,827,707,456/480,896
  6. Step 6: Final answer
    x = 2,272,482.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.