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Finding the Third Proportional to 345,636 and 718,862.25

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Solution

The third proportional to 345,636 and 718,862.25 is: 1,495,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,636 : 718,862.25 = 718,862.25 : x
  2. Step 2: Convert to fraction form
    345,636/718,862.25 = 718,862.25/x
  3. Step 3: Cross multiply
    345,636x = 718,862.25 × 718,862.25
  4. Step 4: Simplify right side
    345,636x = 516,762,934,475.06
  5. Step 5: Solve for x
    x = 516,762,934,475.06/345,636
  6. Step 6: Final answer
    x = 1,495,107.38

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