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Finding the Third Proportional to 287,787.94 and 402,552.28

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Solution

The third proportional to 287,787.94 and 402,552.28 is: 563,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,787.94 : 402,552.28 = 402,552.28 : x
  2. Step 2: Convert to fraction form
    287,787.94/402,552.28 = 402,552.28/x
  3. Step 3: Cross multiply
    287,787.94x = 402,552.28 × 402,552.28
  4. Step 4: Simplify right side
    287,787.94x = 162,048,339,139.58
  5. Step 5: Solve for x
    x = 162,048,339,139.58/287,787.94
  6. Step 6: Final answer
    x = 563,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.