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Finding the Third Proportional to 490,718.25 and 719,877.38

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Solution

The third proportional to 490,718.25 and 719,877.38 is: 1,056,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,718.25 : 719,877.38 = 719,877.38 : x
  2. Step 2: Convert to fraction form
    490,718.25/719,877.38 = 719,877.38/x
  3. Step 3: Cross multiply
    490,718.25x = 719,877.38 × 719,877.38
  4. Step 4: Simplify right side
    490,718.25x = 518,223,435,036.89
  5. Step 5: Solve for x
    x = 518,223,435,036.89/490,718.25
  6. Step 6: Final answer
    x = 1,056,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.