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Finding the Third Proportional to 287,334 and 435,000.38

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Solution

The third proportional to 287,334 and 435,000.38 is: 658,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,334 : 435,000.38 = 435,000.38 : x
  2. Step 2: Convert to fraction form
    287,334/435,000.38 = 435,000.38/x
  3. Step 3: Cross multiply
    287,334x = 435,000.38 × 435,000.38
  4. Step 4: Simplify right side
    287,334x = 189,225,326,250.14
  5. Step 5: Solve for x
    x = 189,225,326,250.14/287,334
  6. Step 6: Final answer
    x = 658,555.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.