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Finding the Third Proportional to 520,457.50 and 776,369.50

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Solution

The third proportional to 520,457.50 and 776,369.50 is: 1,158,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,457.50 : 776,369.50 = 776,369.50 : x
  2. Step 2: Convert to fraction form
    520,457.50/776,369.50 = 776,369.50/x
  3. Step 3: Cross multiply
    520,457.50x = 776,369.50 × 776,369.50
  4. Step 4: Simplify right side
    520,457.50x = 602,749,600,530.25
  5. Step 5: Solve for x
    x = 602,749,600,530.25/520,457.50
  6. Step 6: Final answer
    x = 1,158,114.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.