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Finding the Third Proportional to 342,784.13 and 742,770

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Solution

The third proportional to 342,784.13 and 742,770 is: 1,609,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,784.13 : 742,770 = 742,770 : x
  2. Step 2: Convert to fraction form
    342,784.13/742,770 = 742,770/x
  3. Step 3: Cross multiply
    342,784.13x = 742,770 × 742,770
  4. Step 4: Simplify right side
    342,784.13x = 551,707,272,900
  5. Step 5: Solve for x
    x = 551,707,272,900/342,784.13
  6. Step 6: Final answer
    x = 1,609,488.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.