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Finding the Third Proportional to 340,071 and 742,312

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Solution

The third proportional to 340,071 and 742,312 is: 1,620,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,071 : 742,312 = 742,312 : x
  2. Step 2: Convert to fraction form
    340,071/742,312 = 742,312/x
  3. Step 3: Cross multiply
    340,071x = 742,312 × 742,312
  4. Step 4: Simplify right side
    340,071x = 551,027,105,344
  5. Step 5: Solve for x
    x = 551,027,105,344/340,071
  6. Step 6: Final answer
    x = 1,620,329.59

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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.