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Finding the Third Proportional to 438,352 and 660,048

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Solution

The third proportional to 438,352 and 660,048 is: 993,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,352 : 660,048 = 660,048 : x
  2. Step 2: Convert to fraction form
    438,352/660,048 = 660,048/x
  3. Step 3: Cross multiply
    438,352x = 660,048 × 660,048
  4. Step 4: Simplify right side
    438,352x = 435,663,362,304
  5. Step 5: Solve for x
    x = 435,663,362,304/438,352
  6. Step 6: Final answer
    x = 993,866.49

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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.