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Finding the Third Proportional to 575,640 and 805,176

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Solution

The third proportional to 575,640 and 805,176 is: 1,126,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,640 : 805,176 = 805,176 : x
  2. Step 2: Convert to fraction form
    575,640/805,176 = 805,176/x
  3. Step 3: Cross multiply
    575,640x = 805,176 × 805,176
  4. Step 4: Simplify right side
    575,640x = 648,308,390,976
  5. Step 5: Solve for x
    x = 648,308,390,976/575,640
  6. Step 6: Final answer
    x = 1,126,239.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.