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Finding the Third Proportional to 344,428 and 729,830

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Solution

The third proportional to 344,428 and 729,830 is: 1,546,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,428 : 729,830 = 729,830 : x
  2. Step 2: Convert to fraction form
    344,428/729,830 = 729,830/x
  3. Step 3: Cross multiply
    344,428x = 729,830 × 729,830
  4. Step 4: Simplify right side
    344,428x = 532,651,828,900
  5. Step 5: Solve for x
    x = 532,651,828,900/344,428
  6. Step 6: Final answer
    x = 1,546,482.37

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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.