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Finding the Third Proportional to 287,223.50 and 402,490.50

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Solution

The third proportional to 287,223.50 and 402,490.50 is: 564,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,223.50 : 402,490.50 = 402,490.50 : x
  2. Step 2: Convert to fraction form
    287,223.50/402,490.50 = 402,490.50/x
  3. Step 3: Cross multiply
    287,223.50x = 402,490.50 × 402,490.50
  4. Step 4: Simplify right side
    287,223.50x = 161,998,602,590.25
  5. Step 5: Solve for x
    x = 161,998,602,590.25/287,223.50
  6. Step 6: Final answer
    x = 564,015.84

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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.