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Finding the Third Proportional to 314,078 and 687,969

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Solution

The third proportional to 314,078 and 687,969 is: 1,506,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,078 : 687,969 = 687,969 : x
  2. Step 2: Convert to fraction form
    314,078/687,969 = 687,969/x
  3. Step 3: Cross multiply
    314,078x = 687,969 × 687,969
  4. Step 4: Simplify right side
    314,078x = 473,301,344,961
  5. Step 5: Solve for x
    x = 473,301,344,961/314,078
  6. Step 6: Final answer
    x = 1,506,954.78

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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.