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Finding the Third Proportional to 578,280 and 902,394

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Solution

The third proportional to 578,280 and 902,394 is: 1,408,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,280 : 902,394 = 902,394 : x
  2. Step 2: Convert to fraction form
    578,280/902,394 = 902,394/x
  3. Step 3: Cross multiply
    578,280x = 902,394 × 902,394
  4. Step 4: Simplify right side
    578,280x = 814,314,931,236
  5. Step 5: Solve for x
    x = 814,314,931,236/578,280
  6. Step 6: Final answer
    x = 1,408,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.