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Finding the Third Proportional to 438,240 and 920,748

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Solution

The third proportional to 438,240 and 920,748 is: 1,934,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,240 : 920,748 = 920,748 : x
  2. Step 2: Convert to fraction form
    438,240/920,748 = 920,748/x
  3. Step 3: Cross multiply
    438,240x = 920,748 × 920,748
  4. Step 4: Simplify right side
    438,240x = 847,776,879,504
  5. Step 5: Solve for x
    x = 847,776,879,504/438,240
  6. Step 6: Final answer
    x = 1,934,503.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.