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Finding the Third Proportional to 407,328.75 and 884,641.50

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Solution

The third proportional to 407,328.75 and 884,641.50 is: 1,921,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,328.75 : 884,641.50 = 884,641.50 : x
  2. Step 2: Convert to fraction form
    407,328.75/884,641.50 = 884,641.50/x
  3. Step 3: Cross multiply
    407,328.75x = 884,641.50 × 884,641.50
  4. Step 4: Simplify right side
    407,328.75x = 782,590,583,522.25
  5. Step 5: Solve for x
    x = 782,590,583,522.25/407,328.75
  6. Step 6: Final answer
    x = 1,921,275.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.