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Finding the Third Proportional to 684,967.50 and 1,478,529

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Solution

The third proportional to 684,967.50 and 1,478,529 is: 3,191,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,967.50 : 1,478,529 = 1,478,529 : x
  2. Step 2: Convert to fraction form
    684,967.50/1,478,529 = 1,478,529/x
  3. Step 3: Cross multiply
    684,967.50x = 1,478,529 × 1,478,529
  4. Step 4: Simplify right side
    684,967.50x = 2,186,048,003,841
  5. Step 5: Solve for x
    x = 2,186,048,003,841/684,967.50
  6. Step 6: Final answer
    x = 3,191,462.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.