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Finding the Third Proportional to 340,248 and 742,755

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Solution

The third proportional to 340,248 and 742,755 is: 1,621,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,248 : 742,755 = 742,755 : x
  2. Step 2: Convert to fraction form
    340,248/742,755 = 742,755/x
  3. Step 3: Cross multiply
    340,248x = 742,755 × 742,755
  4. Step 4: Simplify right side
    340,248x = 551,684,990,025
  5. Step 5: Solve for x
    x = 551,684,990,025/340,248
  6. Step 6: Final answer
    x = 1,621,420.23

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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.