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Finding the Third Proportional to 407,929.50 and 897,412.50

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Solution

The third proportional to 407,929.50 and 897,412.50 is: 1,974,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,929.50 : 897,412.50 = 897,412.50 : x
  2. Step 2: Convert to fraction form
    407,929.50/897,412.50 = 897,412.50/x
  3. Step 3: Cross multiply
    407,929.50x = 897,412.50 × 897,412.50
  4. Step 4: Simplify right side
    407,929.50x = 805,349,195,156.25
  5. Step 5: Solve for x
    x = 805,349,195,156.25/407,929.50
  6. Step 6: Final answer
    x = 1,974,236.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.