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Finding the Third Proportional to 691,580 and 1,615,324

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Solution

The third proportional to 691,580 and 1,615,324 is: 3,772,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,580 : 1,615,324 = 1,615,324 : x
  2. Step 2: Convert to fraction form
    691,580/1,615,324 = 1,615,324/x
  3. Step 3: Cross multiply
    691,580x = 1,615,324 × 1,615,324
  4. Step 4: Simplify right side
    691,580x = 2,609,271,624,976
  5. Step 5: Solve for x
    x = 2,609,271,624,976/691,580
  6. Step 6: Final answer
    x = 3,772,913.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.