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Finding the Third Proportional to 345,141 and 535,653

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Solution

The third proportional to 345,141 and 535,653 is: 831,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,141 : 535,653 = 535,653 : x
  2. Step 2: Convert to fraction form
    345,141/535,653 = 535,653/x
  3. Step 3: Cross multiply
    345,141x = 535,653 × 535,653
  4. Step 4: Simplify right side
    345,141x = 286,924,136,409
  5. Step 5: Solve for x
    x = 286,924,136,409/345,141
  6. Step 6: Final answer
    x = 831,324.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.