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Finding the Third Proportional to 385,142 and 590,709

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Solution

The third proportional to 385,142 and 590,709 is: 905,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,142 : 590,709 = 590,709 : x
  2. Step 2: Convert to fraction form
    385,142/590,709 = 590,709/x
  3. Step 3: Cross multiply
    385,142x = 590,709 × 590,709
  4. Step 4: Simplify right side
    385,142x = 348,937,122,681
  5. Step 5: Solve for x
    x = 348,937,122,681/385,142
  6. Step 6: Final answer
    x = 905,996.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.