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Finding the Third Proportional to 458,547 and 611,559

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Solution

The third proportional to 458,547 and 611,559 is: 815,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,547 : 611,559 = 611,559 : x
  2. Step 2: Convert to fraction form
    458,547/611,559 = 611,559/x
  3. Step 3: Cross multiply
    458,547x = 611,559 × 611,559
  4. Step 4: Simplify right side
    458,547x = 374,004,410,481
  5. Step 5: Solve for x
    x = 374,004,410,481/458,547
  6. Step 6: Final answer
    x = 815,629.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.