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Finding the Third Proportional to 402,348 and 879,430

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Solution

The third proportional to 402,348 and 879,430 is: 1,922,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,348 : 879,430 = 879,430 : x
  2. Step 2: Convert to fraction form
    402,348/879,430 = 879,430/x
  3. Step 3: Cross multiply
    402,348x = 879,430 × 879,430
  4. Step 4: Simplify right side
    402,348x = 773,397,124,900
  5. Step 5: Solve for x
    x = 773,397,124,900/402,348
  6. Step 6: Final answer
    x = 1,922,209.44

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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.