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Finding the Third Proportional to 1,050.89 and 1,472.77

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Solution

The third proportional to 1,050.89 and 1,472.77 is: 2,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.89 : 1,472.77 = 1,472.77 : x
  2. Step 2: Convert to fraction form
    1,050.89/1,472.77 = 1,472.77/x
  3. Step 3: Cross multiply
    1,050.89x = 1,472.77 × 1,472.77
  4. Step 4: Simplify right side
    1,050.89x = 2,169,038.59
  5. Step 5: Solve for x
    x = 2,169,038.59/1,050.89
  6. Step 6: Final answer
    x = 2,064.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.