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Finding the Third Proportional to 345,641 and 718,873

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Solution

The third proportional to 345,641 and 718,873 is: 1,495,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,641 : 718,873 = 718,873 : x
  2. Step 2: Convert to fraction form
    345,641/718,873 = 718,873/x
  3. Step 3: Cross multiply
    345,641x = 718,873 × 718,873
  4. Step 4: Simplify right side
    345,641x = 516,778,390,129
  5. Step 5: Solve for x
    x = 516,778,390,129/345,641
  6. Step 6: Final answer
    x = 1,495,130.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.