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Finding the Third Proportional to 578,684 and 920,840

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Solution

The third proportional to 578,684 and 920,840 is: 1,465,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,684 : 920,840 = 920,840 : x
  2. Step 2: Convert to fraction form
    578,684/920,840 = 920,840/x
  3. Step 3: Cross multiply
    578,684x = 920,840 × 920,840
  4. Step 4: Simplify right side
    578,684x = 847,946,305,600
  5. Step 5: Solve for x
    x = 847,946,305,600/578,684
  6. Step 6: Final answer
    x = 1,465,301.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.