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Finding the Third Proportional to 495,040 and 772,128

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Solution

The third proportional to 495,040 and 772,128 is: 1,204,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,040 : 772,128 = 772,128 : x
  2. Step 2: Convert to fraction form
    495,040/772,128 = 772,128/x
  3. Step 3: Cross multiply
    495,040x = 772,128 × 772,128
  4. Step 4: Simplify right side
    495,040x = 596,181,648,384
  5. Step 5: Solve for x
    x = 596,181,648,384/495,040
  6. Step 6: Final answer
    x = 1,204,310.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.