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Finding the Third Proportional to 517,185 and 802,840.50

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Solution

The third proportional to 517,185 and 802,840.50 is: 1,246,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,185 : 802,840.50 = 802,840.50 : x
  2. Step 2: Convert to fraction form
    517,185/802,840.50 = 802,840.50/x
  3. Step 3: Cross multiply
    517,185x = 802,840.50 × 802,840.50
  4. Step 4: Simplify right side
    517,185x = 644,552,868,440.25
  5. Step 5: Solve for x
    x = 644,552,868,440.25/517,185
  6. Step 6: Final answer
    x = 1,246,271.39

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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.