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Finding the Third Proportional to 200,076 and 437,328

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Solution

The third proportional to 200,076 and 437,328 is: 955,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076 : 437,328 = 437,328 : x
  2. Step 2: Convert to fraction form
    200,076/437,328 = 437,328/x
  3. Step 3: Cross multiply
    200,076x = 437,328 × 437,328
  4. Step 4: Simplify right side
    200,076x = 191,255,779,584
  5. Step 5: Solve for x
    x = 191,255,779,584/200,076
  6. Step 6: Final answer
    x = 955,915.65

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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.