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Finding the Third Proportional to 459,742.50 and 717,558.75

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Solution

The third proportional to 459,742.50 and 717,558.75 is: 1,119,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,742.50 : 717,558.75 = 717,558.75 : x
  2. Step 2: Convert to fraction form
    459,742.50/717,558.75 = 717,558.75/x
  3. Step 3: Cross multiply
    459,742.50x = 717,558.75 × 717,558.75
  4. Step 4: Simplify right side
    459,742.50x = 514,890,559,701.56
  5. Step 5: Solve for x
    x = 514,890,559,701.56/459,742.50
  6. Step 6: Final answer
    x = 1,119,954.23

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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.