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Finding the Third Proportional to 314,016 and 687,748

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Solution

The third proportional to 314,016 and 687,748 is: 1,506,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,016 : 687,748 = 687,748 : x
  2. Step 2: Convert to fraction form
    314,016/687,748 = 687,748/x
  3. Step 3: Cross multiply
    314,016x = 687,748 × 687,748
  4. Step 4: Simplify right side
    314,016x = 472,997,311,504
  5. Step 5: Solve for x
    x = 472,997,311,504/314,016
  6. Step 6: Final answer
    x = 1,506,284.11

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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.