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Finding the Third Proportional to 435,699 and 684,652.50

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Solution

The third proportional to 435,699 and 684,652.50 is: 1,075,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,699 : 684,652.50 = 684,652.50 : x
  2. Step 2: Convert to fraction form
    435,699/684,652.50 = 684,652.50/x
  3. Step 3: Cross multiply
    435,699x = 684,652.50 × 684,652.50
  4. Step 4: Simplify right side
    435,699x = 468,749,045,756.25
  5. Step 5: Solve for x
    x = 468,749,045,756.25/435,699
  6. Step 6: Final answer
    x = 1,075,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.