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Finding the Third Proportional to 520,085 and 776,695.50

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Solution

The third proportional to 520,085 and 776,695.50 is: 1,159,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085 : 776,695.50 = 776,695.50 : x
  2. Step 2: Convert to fraction form
    520,085/776,695.50 = 776,695.50/x
  3. Step 3: Cross multiply
    520,085x = 776,695.50 × 776,695.50
  4. Step 4: Simplify right side
    520,085x = 603,255,899,720.25
  5. Step 5: Solve for x
    x = 603,255,899,720.25/520,085
  6. Step 6: Final answer
    x = 1,159,917.90

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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.