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Finding the Third Proportional to 402,270 and 881,348

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Solution

The third proportional to 402,270 and 881,348 is: 1,930,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,270 : 881,348 = 881,348 : x
  2. Step 2: Convert to fraction form
    402,270/881,348 = 881,348/x
  3. Step 3: Cross multiply
    402,270x = 881,348 × 881,348
  4. Step 4: Simplify right side
    402,270x = 776,774,297,104
  5. Step 5: Solve for x
    x = 776,774,297,104/402,270
  6. Step 6: Final answer
    x = 1,930,977.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.