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Finding the Third Proportional to 201,688 and 429,871

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Solution

The third proportional to 201,688 and 429,871 is: 916,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688 : 429,871 = 429,871 : x
  2. Step 2: Convert to fraction form
    201,688/429,871 = 429,871/x
  3. Step 3: Cross multiply
    201,688x = 429,871 × 429,871
  4. Step 4: Simplify right side
    201,688x = 184,789,076,641
  5. Step 5: Solve for x
    x = 184,789,076,641/201,688
  6. Step 6: Final answer
    x = 916,212.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.