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Finding the Third Proportional to 375,428.36 and 777,470.91

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Solution

The third proportional to 375,428.36 and 777,470.91 is: 1,610,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,428.36 : 777,470.91 = 777,470.91 : x
  2. Step 2: Convert to fraction form
    375,428.36/777,470.91 = 777,470.91/x
  3. Step 3: Cross multiply
    375,428.36x = 777,470.91 × 777,470.91
  4. Step 4: Simplify right side
    375,428.36x = 604,461,010,065.20
  5. Step 5: Solve for x
    x = 604,461,010,065.20/375,428.36
  6. Step 6: Final answer
    x = 1,610,056.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.