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Finding the Third Proportional to 452,169 and 602,768.25

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Solution

The third proportional to 452,169 and 602,768.25 is: 803,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,169 : 602,768.25 = 602,768.25 : x
  2. Step 2: Convert to fraction form
    452,169/602,768.25 = 602,768.25/x
  3. Step 3: Cross multiply
    452,169x = 602,768.25 × 602,768.25
  4. Step 4: Simplify right side
    452,169x = 363,329,563,208.06
  5. Step 5: Solve for x
    x = 363,329,563,208.06/452,169
  6. Step 6: Final answer
    x = 803,526.03

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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.