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Finding the Third Proportional to 620,020 and 877,570

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Solution

The third proportional to 620,020 and 877,570 is: 1,242,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,020 : 877,570 = 877,570 : x
  2. Step 2: Convert to fraction form
    620,020/877,570 = 877,570/x
  3. Step 3: Cross multiply
    620,020x = 877,570 × 877,570
  4. Step 4: Simplify right side
    620,020x = 770,129,104,900
  5. Step 5: Solve for x
    x = 770,129,104,900/620,020
  6. Step 6: Final answer
    x = 1,242,103.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.