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Finding the Third Proportional to 530,760 and 780,480

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Solution

The third proportional to 530,760 and 780,480 is: 1,147,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,760 : 780,480 = 780,480 : x
  2. Step 2: Convert to fraction form
    530,760/780,480 = 780,480/x
  3. Step 3: Cross multiply
    530,760x = 780,480 × 780,480
  4. Step 4: Simplify right side
    530,760x = 609,149,030,400
  5. Step 5: Solve for x
    x = 609,149,030,400/530,760
  6. Step 6: Final answer
    x = 1,147,692.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.