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Finding the Third Proportional to 314,078.50 and 687,968.75

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Solution

The third proportional to 314,078.50 and 687,968.75 is: 1,506,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,078.50 : 687,968.75 = 687,968.75 : x
  2. Step 2: Convert to fraction form
    314,078.50/687,968.75 = 687,968.75/x
  3. Step 3: Cross multiply
    314,078.50x = 687,968.75 × 687,968.75
  4. Step 4: Simplify right side
    314,078.50x = 473,301,000,976.56
  5. Step 5: Solve for x
    x = 473,301,000,976.56/314,078.50
  6. Step 6: Final answer
    x = 1,506,951.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.