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Finding the Third Proportional to 621,738 and 912,210

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Solution

The third proportional to 621,738 and 912,210 is: 1,338,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 912,210 = 912,210 : x
  2. Step 2: Convert to fraction form
    621,738/912,210 = 912,210/x
  3. Step 3: Cross multiply
    621,738x = 912,210 × 912,210
  4. Step 4: Simplify right side
    621,738x = 832,127,084,100
  5. Step 5: Solve for x
    x = 832,127,084,100/621,738
  6. Step 6: Final answer
    x = 1,338,388.65

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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.