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Finding the Third Proportional to 440,316 and 520,020

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Solution

The third proportional to 440,316 and 520,020 is: 614,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,316 : 520,020 = 520,020 : x
  2. Step 2: Convert to fraction form
    440,316/520,020 = 520,020/x
  3. Step 3: Cross multiply
    440,316x = 520,020 × 520,020
  4. Step 4: Simplify right side
    440,316x = 270,420,800,400
  5. Step 5: Solve for x
    x = 270,420,800,400/440,316
  6. Step 6: Final answer
    x = 614,151.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.