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Finding the Third Proportional to 345,649 and 718,887

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Solution

The third proportional to 345,649 and 718,887 is: 1,495,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,649 : 718,887 = 718,887 : x
  2. Step 2: Convert to fraction form
    345,649/718,887 = 718,887/x
  3. Step 3: Cross multiply
    345,649x = 718,887 × 718,887
  4. Step 4: Simplify right side
    345,649x = 516,798,518,769
  5. Step 5: Solve for x
    x = 516,798,518,769/345,649
  6. Step 6: Final answer
    x = 1,495,154.10

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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.