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Finding the Third Proportional to 359,663.63 and 479,827.13

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Solution

The third proportional to 359,663.63 and 479,827.13 is: 640,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,663.63 : 479,827.13 = 479,827.13 : x
  2. Step 2: Convert to fraction form
    359,663.63/479,827.13 = 479,827.13/x
  3. Step 3: Cross multiply
    359,663.63x = 479,827.13 × 479,827.13
  4. Step 4: Simplify right side
    359,663.63x = 230,234,069,885.77
  5. Step 5: Solve for x
    x = 230,234,069,885.77/359,663.63
  6. Step 6: Final answer
    x = 640,137.21

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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.