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Finding the Third Proportional to 407,709 and 599,580

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Solution

The third proportional to 407,709 and 599,580 is: 881,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,709 : 599,580 = 599,580 : x
  2. Step 2: Convert to fraction form
    407,709/599,580 = 599,580/x
  3. Step 3: Cross multiply
    407,709x = 599,580 × 599,580
  4. Step 4: Simplify right side
    407,709x = 359,496,176,400
  5. Step 5: Solve for x
    x = 359,496,176,400/407,709
  6. Step 6: Final answer
    x = 881,746.97

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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.