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Finding the Third Proportional to 562,709 and 1,301,553

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Solution

The third proportional to 562,709 and 1,301,553 is: 3,010,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,709 : 1,301,553 = 1,301,553 : x
  2. Step 2: Convert to fraction form
    562,709/1,301,553 = 1,301,553/x
  3. Step 3: Cross multiply
    562,709x = 1,301,553 × 1,301,553
  4. Step 4: Simplify right side
    562,709x = 1,694,040,211,809
  5. Step 5: Solve for x
    x = 1,694,040,211,809/562,709
  6. Step 6: Final answer
    x = 3,010,508.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.