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Finding the Third Proportional to 358,770 and 761,272

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Solution

The third proportional to 358,770 and 761,272 is: 1,615,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,770 : 761,272 = 761,272 : x
  2. Step 2: Convert to fraction form
    358,770/761,272 = 761,272/x
  3. Step 3: Cross multiply
    358,770x = 761,272 × 761,272
  4. Step 4: Simplify right side
    358,770x = 579,535,057,984
  5. Step 5: Solve for x
    x = 579,535,057,984/358,770
  6. Step 6: Final answer
    x = 1,615,338.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.