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Finding the Third Proportional to 459,031.50 and 670,929.75

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Solution

The third proportional to 459,031.50 and 670,929.75 is: 980,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,031.50 : 670,929.75 = 670,929.75 : x
  2. Step 2: Convert to fraction form
    459,031.50/670,929.75 = 670,929.75/x
  3. Step 3: Cross multiply
    459,031.50x = 670,929.75 × 670,929.75
  4. Step 4: Simplify right side
    459,031.50x = 450,146,729,435.06
  5. Step 5: Solve for x
    x = 450,146,729,435.06/459,031.50
  6. Step 6: Final answer
    x = 980,644.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.