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Finding the Third Proportional to 343,811 and 742,927.50

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Solution

The third proportional to 343,811 and 742,927.50 is: 1,605,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,811 : 742,927.50 = 742,927.50 : x
  2. Step 2: Convert to fraction form
    343,811/742,927.50 = 742,927.50/x
  3. Step 3: Cross multiply
    343,811x = 742,927.50 × 742,927.50
  4. Step 4: Simplify right side
    343,811x = 551,941,270,256.25
  5. Step 5: Solve for x
    x = 551,941,270,256.25/343,811
  6. Step 6: Final answer
    x = 1,605,362.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.