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Finding the Third Proportional to 574,648 and 909,480

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Solution

The third proportional to 574,648 and 909,480 is: 1,439,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,648 : 909,480 = 909,480 : x
  2. Step 2: Convert to fraction form
    574,648/909,480 = 909,480/x
  3. Step 3: Cross multiply
    574,648x = 909,480 × 909,480
  4. Step 4: Simplify right side
    574,648x = 827,153,870,400
  5. Step 5: Solve for x
    x = 827,153,870,400/574,648
  6. Step 6: Final answer
    x = 1,439,409.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.