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Finding the Third Proportional to 329,990 and 514,702

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Solution

The third proportional to 329,990 and 514,702 is: 802,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,990 : 514,702 = 514,702 : x
  2. Step 2: Convert to fraction form
    329,990/514,702 = 514,702/x
  3. Step 3: Cross multiply
    329,990x = 514,702 × 514,702
  4. Step 4: Simplify right side
    329,990x = 264,918,148,804
  5. Step 5: Solve for x
    x = 264,918,148,804/329,990
  6. Step 6: Final answer
    x = 802,806.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.