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Finding the Third Proportional to 340,158 and 742,486

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Solution

The third proportional to 340,158 and 742,486 is: 1,620,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,158 : 742,486 = 742,486 : x
  2. Step 2: Convert to fraction form
    340,158/742,486 = 742,486/x
  3. Step 3: Cross multiply
    340,158x = 742,486 × 742,486
  4. Step 4: Simplify right side
    340,158x = 551,285,460,196
  5. Step 5: Solve for x
    x = 551,285,460,196/340,158
  6. Step 6: Final answer
    x = 1,620,674.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.