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Finding the Third Proportional to 287,076 and 427,332

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Solution

The third proportional to 287,076 and 427,332 is: 636,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,076 : 427,332 = 427,332 : x
  2. Step 2: Convert to fraction form
    287,076/427,332 = 427,332/x
  3. Step 3: Cross multiply
    287,076x = 427,332 × 427,332
  4. Step 4: Simplify right side
    287,076x = 182,612,638,224
  5. Step 5: Solve for x
    x = 182,612,638,224/287,076
  6. Step 6: Final answer
    x = 636,112.52

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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.