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Finding the Third Proportional to 340,087 and 742,342

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Solution

The third proportional to 340,087 and 742,342 is: 1,620,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,087 : 742,342 = 742,342 : x
  2. Step 2: Convert to fraction form
    340,087/742,342 = 742,342/x
  3. Step 3: Cross multiply
    340,087x = 742,342 × 742,342
  4. Step 4: Simplify right side
    340,087x = 551,071,644,964
  5. Step 5: Solve for x
    x = 551,071,644,964/340,087
  6. Step 6: Final answer
    x = 1,620,384.33

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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.