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Finding the Third Proportional to 315,541.50 and 688,194.75

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Solution

The third proportional to 315,541.50 and 688,194.75 is: 1,500,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,541.50 : 688,194.75 = 688,194.75 : x
  2. Step 2: Convert to fraction form
    315,541.50/688,194.75 = 688,194.75/x
  3. Step 3: Cross multiply
    315,541.50x = 688,194.75 × 688,194.75
  4. Step 4: Simplify right side
    315,541.50x = 473,612,013,927.56
  5. Step 5: Solve for x
    x = 473,612,013,927.56/315,541.50
  6. Step 6: Final answer
    x = 1,500,950.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.