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Finding the Third Proportional to 560,142 and 805,221

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Solution

The third proportional to 560,142 and 805,221 is: 1,157,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,142 : 805,221 = 805,221 : x
  2. Step 2: Convert to fraction form
    560,142/805,221 = 805,221/x
  3. Step 3: Cross multiply
    560,142x = 805,221 × 805,221
  4. Step 4: Simplify right side
    560,142x = 648,380,858,841
  5. Step 5: Solve for x
    x = 648,380,858,841/560,142
  6. Step 6: Final answer
    x = 1,157,529.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.