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Finding the Third Proportional to 333,814.50 and 742,473

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Solution

The third proportional to 333,814.50 and 742,473 is: 1,651,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,814.50 : 742,473 = 742,473 : x
  2. Step 2: Convert to fraction form
    333,814.50/742,473 = 742,473/x
  3. Step 3: Cross multiply
    333,814.50x = 742,473 × 742,473
  4. Step 4: Simplify right side
    333,814.50x = 551,266,155,729
  5. Step 5: Solve for x
    x = 551,266,155,729/333,814.50
  6. Step 6: Final answer
    x = 1,651,414.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.