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Finding the Third Proportional to 345,642 and 536,445

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Solution

The third proportional to 345,642 and 536,445 is: 832,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,642 : 536,445 = 536,445 : x
  2. Step 2: Convert to fraction form
    345,642/536,445 = 536,445/x
  3. Step 3: Cross multiply
    345,642x = 536,445 × 536,445
  4. Step 4: Simplify right side
    345,642x = 287,773,238,025
  5. Step 5: Solve for x
    x = 287,773,238,025/345,642
  6. Step 6: Final answer
    x = 832,576.01

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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.