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Finding the Third Proportional to 287,640 and 429,819

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Solution

The third proportional to 287,640 and 429,819 is: 642,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,640 : 429,819 = 429,819 : x
  2. Step 2: Convert to fraction form
    287,640/429,819 = 429,819/x
  3. Step 3: Cross multiply
    287,640x = 429,819 × 429,819
  4. Step 4: Simplify right side
    287,640x = 184,744,372,761
  5. Step 5: Solve for x
    x = 184,744,372,761/287,640
  6. Step 6: Final answer
    x = 642,276.36

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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.