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Finding the Third Proportional to 340,270 and 745,663

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Solution

The third proportional to 340,270 and 745,663 is: 1,634,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,270 : 745,663 = 745,663 : x
  2. Step 2: Convert to fraction form
    340,270/745,663 = 745,663/x
  3. Step 3: Cross multiply
    340,270x = 745,663 × 745,663
  4. Step 4: Simplify right side
    340,270x = 556,013,309,569
  5. Step 5: Solve for x
    x = 556,013,309,569/340,270
  6. Step 6: Final answer
    x = 1,634,035.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.