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Finding the Third Proportional to 343,813 and 742,931.50

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Solution

The third proportional to 343,813 and 742,931.50 is: 1,605,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,813 : 742,931.50 = 742,931.50 : x
  2. Step 2: Convert to fraction form
    343,813/742,931.50 = 742,931.50/x
  3. Step 3: Cross multiply
    343,813x = 742,931.50 × 742,931.50
  4. Step 4: Simplify right side
    343,813x = 551,947,213,692.25
  5. Step 5: Solve for x
    x = 551,947,213,692.25/343,813
  6. Step 6: Final answer
    x = 1,605,370.40

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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.