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Finding the Third Proportional to 474,153 and 708,420

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Solution

The third proportional to 474,153 and 708,420 is: 1,058,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,153 : 708,420 = 708,420 : x
  2. Step 2: Convert to fraction form
    474,153/708,420 = 708,420/x
  3. Step 3: Cross multiply
    474,153x = 708,420 × 708,420
  4. Step 4: Simplify right side
    474,153x = 501,858,896,400
  5. Step 5: Solve for x
    x = 501,858,896,400/474,153
  6. Step 6: Final answer
    x = 1,058,432.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.