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Finding the Third Proportional to 623,620 and 912,102

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Solution

The third proportional to 623,620 and 912,102 is: 1,334,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,620 : 912,102 = 912,102 : x
  2. Step 2: Convert to fraction form
    623,620/912,102 = 912,102/x
  3. Step 3: Cross multiply
    623,620x = 912,102 × 912,102
  4. Step 4: Simplify right side
    623,620x = 831,930,058,404
  5. Step 5: Solve for x
    x = 831,930,058,404/623,620
  6. Step 6: Final answer
    x = 1,334,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.