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Finding the Third Proportional to 431,302.50 and 652,998.38

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Solution

The third proportional to 431,302.50 and 652,998.38 is: 988,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,302.50 : 652,998.38 = 652,998.38 : x
  2. Step 2: Convert to fraction form
    431,302.50/652,998.38 = 652,998.38/x
  3. Step 3: Cross multiply
    431,302.50x = 652,998.38 × 652,998.38
  4. Step 4: Simplify right side
    431,302.50x = 426,406,877,752.64
  5. Step 5: Solve for x
    x = 426,406,877,752.64/431,302.50
  6. Step 6: Final answer
    x = 988,649.21

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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.