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Finding the Third Proportional to 289,929.50 and 435,440

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Solution

The third proportional to 289,929.50 and 435,440 is: 653,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,929.50 : 435,440 = 435,440 : x
  2. Step 2: Convert to fraction form
    289,929.50/435,440 = 435,440/x
  3. Step 3: Cross multiply
    289,929.50x = 435,440 × 435,440
  4. Step 4: Simplify right side
    289,929.50x = 189,607,993,600
  5. Step 5: Solve for x
    x = 189,607,993,600/289,929.50
  6. Step 6: Final answer
    x = 653,979.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.