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Finding the Third Proportional to 288,698 and 453,513

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Solution

The third proportional to 288,698 and 453,513 is: 712,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698 : 453,513 = 453,513 : x
  2. Step 2: Convert to fraction form
    288,698/453,513 = 453,513/x
  3. Step 3: Cross multiply
    288,698x = 453,513 × 453,513
  4. Step 4: Simplify right side
    288,698x = 205,674,041,169
  5. Step 5: Solve for x
    x = 205,674,041,169/288,698
  6. Step 6: Final answer
    x = 712,419.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.