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Finding the Third Proportional to 307,531.88 and 432,883.50

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Solution

The third proportional to 307,531.88 and 432,883.50 is: 609,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,531.88 : 432,883.50 = 432,883.50 : x
  2. Step 2: Convert to fraction form
    307,531.88/432,883.50 = 432,883.50/x
  3. Step 3: Cross multiply
    307,531.88x = 432,883.50 × 432,883.50
  4. Step 4: Simplify right side
    307,531.88x = 187,388,124,572.25
  5. Step 5: Solve for x
    x = 187,388,124,572.25/307,531.88
  6. Step 6: Final answer
    x = 609,329.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.