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Finding the Third Proportional to 285,963.50 and 419,386.50

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Solution

The third proportional to 285,963.50 and 419,386.50 is: 615,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,963.50 : 419,386.50 = 419,386.50 : x
  2. Step 2: Convert to fraction form
    285,963.50/419,386.50 = 419,386.50/x
  3. Step 3: Cross multiply
    285,963.50x = 419,386.50 × 419,386.50
  4. Step 4: Simplify right side
    285,963.50x = 175,885,036,382.25
  5. Step 5: Solve for x
    x = 175,885,036,382.25/285,963.50
  6. Step 6: Final answer
    x = 615,061.14

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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.