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Finding the Third Proportional to 306,973.50 and 645,757.50

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Solution

The third proportional to 306,973.50 and 645,757.50 is: 1,358,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,973.50 : 645,757.50 = 645,757.50 : x
  2. Step 2: Convert to fraction form
    306,973.50/645,757.50 = 645,757.50/x
  3. Step 3: Cross multiply
    306,973.50x = 645,757.50 × 645,757.50
  4. Step 4: Simplify right side
    306,973.50x = 417,002,748,806.25
  5. Step 5: Solve for x
    x = 417,002,748,806.25/306,973.50
  6. Step 6: Final answer
    x = 1,358,432.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.