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Finding the Third Proportional to 145,357.50 and 311,734.50

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Solution

The third proportional to 145,357.50 and 311,734.50 is: 668,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,357.50 : 311,734.50 = 311,734.50 : x
  2. Step 2: Convert to fraction form
    145,357.50/311,734.50 = 311,734.50/x
  3. Step 3: Cross multiply
    145,357.50x = 311,734.50 × 311,734.50
  4. Step 4: Simplify right side
    145,357.50x = 97,178,398,490.25
  5. Step 5: Solve for x
    x = 97,178,398,490.25/145,357.50
  6. Step 6: Final answer
    x = 668,547.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.