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Finding the Third Proportional to 287,140 and 427,904

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Solution

The third proportional to 287,140 and 427,904 is: 637,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,140 : 427,904 = 427,904 : x
  2. Step 2: Convert to fraction form
    287,140/427,904 = 427,904/x
  3. Step 3: Cross multiply
    287,140x = 427,904 × 427,904
  4. Step 4: Simplify right side
    287,140x = 183,101,833,216
  5. Step 5: Solve for x
    x = 183,101,833,216/287,140
  6. Step 6: Final answer
    x = 637,674.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.