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Finding the Third Proportional to 290,349 and 432,400.50

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Solution

The third proportional to 290,349 and 432,400.50 is: 643,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,349 : 432,400.50 = 432,400.50 : x
  2. Step 2: Convert to fraction form
    290,349/432,400.50 = 432,400.50/x
  3. Step 3: Cross multiply
    290,349x = 432,400.50 × 432,400.50
  4. Step 4: Simplify right side
    290,349x = 186,970,192,400.25
  5. Step 5: Solve for x
    x = 186,970,192,400.25/290,349
  6. Step 6: Final answer
    x = 643,949.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.