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Finding the Third Proportional to 286,220 and 621,604

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Solution

The third proportional to 286,220 and 621,604 is: 1,349,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,220 : 621,604 = 621,604 : x
  2. Step 2: Convert to fraction form
    286,220/621,604 = 621,604/x
  3. Step 3: Cross multiply
    286,220x = 621,604 × 621,604
  4. Step 4: Simplify right side
    286,220x = 386,391,532,816
  5. Step 5: Solve for x
    x = 386,391,532,816/286,220
  6. Step 6: Final answer
    x = 1,349,980.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.