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Finding the Third Proportional to 145,219.50 and 314,565.19

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Solution

The third proportional to 145,219.50 and 314,565.19 is: 681,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,219.50 : 314,565.19 = 314,565.19 : x
  2. Step 2: Convert to fraction form
    145,219.50/314,565.19 = 314,565.19/x
  3. Step 3: Cross multiply
    145,219.50x = 314,565.19 × 314,565.19
  4. Step 4: Simplify right side
    145,219.50x = 98,951,257,186.91
  5. Step 5: Solve for x
    x = 98,951,257,186.91/145,219.50
  6. Step 6: Final answer
    x = 681,390.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.