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Finding the Third Proportional to 314,078.75 and 687,969.25

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Solution

The third proportional to 314,078.75 and 687,969.25 is: 1,506,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,078.75 : 687,969.25 = 687,969.25 : x
  2. Step 2: Convert to fraction form
    314,078.75/687,969.25 = 687,969.25/x
  3. Step 3: Cross multiply
    314,078.75x = 687,969.25 × 687,969.25
  4. Step 4: Simplify right side
    314,078.75x = 473,301,688,945.56
  5. Step 5: Solve for x
    x = 473,301,688,945.56/314,078.75
  6. Step 6: Final answer
    x = 1,506,952.28

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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.