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Finding the Third Proportional to 287,373.72 and 677,420.05

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Solution

The third proportional to 287,373.72 and 677,420.05 is: 1,596,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,373.72 : 677,420.05 = 677,420.05 : x
  2. Step 2: Convert to fraction form
    287,373.72/677,420.05 = 677,420.05/x
  3. Step 3: Cross multiply
    287,373.72x = 677,420.05 × 677,420.05
  4. Step 4: Simplify right side
    287,373.72x = 458,897,919,246.56
  5. Step 5: Solve for x
    x = 458,897,919,246.56/287,373.72
  6. Step 6: Final answer
    x = 1,596,868.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.