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Finding the Third Proportional to 438,217 and 660,210.50

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Solution

The third proportional to 438,217 and 660,210.50 is: 994,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,217 : 660,210.50 = 660,210.50 : x
  2. Step 2: Convert to fraction form
    438,217/660,210.50 = 660,210.50/x
  3. Step 3: Cross multiply
    438,217x = 660,210.50 × 660,210.50
  4. Step 4: Simplify right side
    438,217x = 435,877,904,310.25
  5. Step 5: Solve for x
    x = 435,877,904,310.25/438,217
  6. Step 6: Final answer
    x = 994,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.