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Finding the Third Proportional to 407,120 and 622,776

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Solution

The third proportional to 407,120 and 622,776 is: 952,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,120 : 622,776 = 622,776 : x
  2. Step 2: Convert to fraction form
    407,120/622,776 = 622,776/x
  3. Step 3: Cross multiply
    407,120x = 622,776 × 622,776
  4. Step 4: Simplify right side
    407,120x = 387,849,946,176
  5. Step 5: Solve for x
    x = 387,849,946,176/407,120
  6. Step 6: Final answer
    x = 952,667.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.