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Finding the Third Proportional to 407,565 and 885,208.50

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Solution

The third proportional to 407,565 and 885,208.50 is: 1,922,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,565 : 885,208.50 = 885,208.50 : x
  2. Step 2: Convert to fraction form
    407,565/885,208.50 = 885,208.50/x
  3. Step 3: Cross multiply
    407,565x = 885,208.50 × 885,208.50
  4. Step 4: Simplify right side
    407,565x = 783,594,088,472.25
  5. Step 5: Solve for x
    x = 783,594,088,472.25/407,565
  6. Step 6: Final answer
    x = 1,922,623.60

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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.