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Finding the Third Proportional to 353,478 and 535,365

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Solution

The third proportional to 353,478 and 535,365 is: 810,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,478 : 535,365 = 535,365 : x
  2. Step 2: Convert to fraction form
    353,478/535,365 = 535,365/x
  3. Step 3: Cross multiply
    353,478x = 535,365 × 535,365
  4. Step 4: Simplify right side
    353,478x = 286,615,683,225
  5. Step 5: Solve for x
    x = 286,615,683,225/353,478
  6. Step 6: Final answer
    x = 810,844.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.