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Finding the Third Proportional to 347,409 and 761,319

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Solution

The third proportional to 347,409 and 761,319 is: 1,668,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,409 : 761,319 = 761,319 : x
  2. Step 2: Convert to fraction form
    347,409/761,319 = 761,319/x
  3. Step 3: Cross multiply
    347,409x = 761,319 × 761,319
  4. Step 4: Simplify right side
    347,409x = 579,606,619,761
  5. Step 5: Solve for x
    x = 579,606,619,761/347,409
  6. Step 6: Final answer
    x = 1,668,369.62

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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.