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Finding the Third Proportional to 287,824 and 402,594

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Solution

The third proportional to 287,824 and 402,594 is: 563,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,824 : 402,594 = 402,594 : x
  2. Step 2: Convert to fraction form
    287,824/402,594 = 402,594/x
  3. Step 3: Cross multiply
    287,824x = 402,594 × 402,594
  4. Step 4: Simplify right side
    287,824x = 162,081,928,836
  5. Step 5: Solve for x
    x = 162,081,928,836/287,824
  6. Step 6: Final answer
    x = 563,128.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.