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Finding the Third Proportional to 542.79 and 840.98

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Solution

The third proportional to 542.79 and 840.98 is: 1,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 840.98 = 840.98 : x
  2. Step 2: Convert to fraction form
    542.79/840.98 = 840.98/x
  3. Step 3: Cross multiply
    542.79x = 840.98 × 840.98
  4. Step 4: Simplify right side
    542.79x = 707,254.72
  5. Step 5: Solve for x
    x = 707,254.72/542.79
  6. Step 6: Final answer
    x = 1,303.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.