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Finding the Third Proportional to 402,144.75 and 626,950.13

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Solution

The third proportional to 402,144.75 and 626,950.13 is: 977,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,144.75 : 626,950.13 = 626,950.13 : x
  2. Step 2: Convert to fraction form
    402,144.75/626,950.13 = 626,950.13/x
  3. Step 3: Cross multiply
    402,144.75x = 626,950.13 × 626,950.13
  4. Step 4: Simplify right side
    402,144.75x = 393,066,459,237.52
  5. Step 5: Solve for x
    x = 393,066,459,237.52/402,144.75
  6. Step 6: Final answer
    x = 977,425.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.