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Finding the Third Proportional to 401,592 and 645,806

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Solution

The third proportional to 401,592 and 645,806 is: 1,038,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,592 : 645,806 = 645,806 : x
  2. Step 2: Convert to fraction form
    401,592/645,806 = 645,806/x
  3. Step 3: Cross multiply
    401,592x = 645,806 × 645,806
  4. Step 4: Simplify right side
    401,592x = 417,065,389,636
  5. Step 5: Solve for x
    x = 417,065,389,636/401,592
  6. Step 6: Final answer
    x = 1,038,530.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.