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Finding the Third Proportional to 345,181.50 and 714,328.88

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Solution

The third proportional to 345,181.50 and 714,328.88 is: 1,478,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,181.50 : 714,328.88 = 714,328.88 : x
  2. Step 2: Convert to fraction form
    345,181.50/714,328.88 = 714,328.88/x
  3. Step 3: Cross multiply
    345,181.50x = 714,328.88 × 714,328.88
  4. Step 4: Simplify right side
    345,181.50x = 510,265,741,658.77
  5. Step 5: Solve for x
    x = 510,265,741,658.77/345,181.50
  6. Step 6: Final answer
    x = 1,478,253.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.