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Finding the Third Proportional to 438,356 and 660,054

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Solution

The third proportional to 438,356 and 660,054 is: 993,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,356 : 660,054 = 660,054 : x
  2. Step 2: Convert to fraction form
    438,356/660,054 = 660,054/x
  3. Step 3: Cross multiply
    438,356x = 660,054 × 660,054
  4. Step 4: Simplify right side
    438,356x = 435,671,282,916
  5. Step 5: Solve for x
    x = 435,671,282,916/438,356
  6. Step 6: Final answer
    x = 993,875.49

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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.