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Finding the Third Proportional to 677,484 and 990,784.13

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Solution

The third proportional to 677,484 and 990,784.13 is: 1,448,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,484 : 990,784.13 = 990,784.13 : x
  2. Step 2: Convert to fraction form
    677,484/990,784.13 = 990,784.13/x
  3. Step 3: Cross multiply
    677,484x = 990,784.13 × 990,784.13
  4. Step 4: Simplify right side
    677,484x = 981,653,182,352.02
  5. Step 5: Solve for x
    x = 981,653,182,352.02/677,484
  6. Step 6: Final answer
    x = 1,448,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.