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Finding the Third Proportional to 370,428.19 and 554,062.78

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Solution

The third proportional to 370,428.19 and 554,062.78 is: 828,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,428.19 : 554,062.78 = 554,062.78 : x
  2. Step 2: Convert to fraction form
    370,428.19/554,062.78 = 554,062.78/x
  3. Step 3: Cross multiply
    370,428.19x = 554,062.78 × 554,062.78
  4. Step 4: Simplify right side
    370,428.19x = 306,985,565,566.49
  5. Step 5: Solve for x
    x = 306,985,565,566.49/370,428.19
  6. Step 6: Final answer
    x = 828,731.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.