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Finding the Third Proportional to 439,842,351 and 645,384,969

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Solution

The third proportional to 439,842,351 and 645,384,969 is: 946,979,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,842,351 : 645,384,969 = 645,384,969 : x
  2. Step 2: Convert to fraction form
    439,842,351/645,384,969 = 645,384,969/x
  3. Step 3: Cross multiply
    439,842,351x = 645,384,969 × 645,384,969
  4. Step 4: Simplify right side
    439,842,351x = 416,521,758,211,130,944
  5. Step 5: Solve for x
    x = 416,521,758,211,130,944/439,842,351
  6. Step 6: Final answer
    x = 946,979,655.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.