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Finding the Third Proportional to 340,130 and 742,426

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Solution

The third proportional to 340,130 and 742,426 is: 1,620,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,130 : 742,426 = 742,426 : x
  2. Step 2: Convert to fraction form
    340,130/742,426 = 742,426/x
  3. Step 3: Cross multiply
    340,130x = 742,426 × 742,426
  4. Step 4: Simplify right side
    340,130x = 551,196,365,476
  5. Step 5: Solve for x
    x = 551,196,365,476/340,130
  6. Step 6: Final answer
    x = 1,620,546.16

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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.