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Finding the Third Proportional to 443,147.63 and 687,484.13

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Solution

The third proportional to 443,147.63 and 687,484.13 is: 1,066,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,147.63 : 687,484.13 = 687,484.13 : x
  2. Step 2: Convert to fraction form
    443,147.63/687,484.13 = 687,484.13/x
  3. Step 3: Cross multiply
    443,147.63x = 687,484.13 × 687,484.13
  4. Step 4: Simplify right side
    443,147.63x = 472,634,422,127.02
  5. Step 5: Solve for x
    x = 472,634,422,127.02/443,147.63
  6. Step 6: Final answer
    x = 1,066,539.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.