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Finding the Third Proportional to 435,588 and 657,072

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Solution

The third proportional to 435,588 and 657,072 is: 991,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,588 : 657,072 = 657,072 : x
  2. Step 2: Convert to fraction form
    435,588/657,072 = 657,072/x
  3. Step 3: Cross multiply
    435,588x = 657,072 × 657,072
  4. Step 4: Simplify right side
    435,588x = 431,743,613,184
  5. Step 5: Solve for x
    x = 431,743,613,184/435,588
  6. Step 6: Final answer
    x = 991,174.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.