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Finding the Third Proportional to 477,040 and 645,576

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Solution

The third proportional to 477,040 and 645,576 is: 873,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,040 : 645,576 = 645,576 : x
  2. Step 2: Convert to fraction form
    477,040/645,576 = 645,576/x
  3. Step 3: Cross multiply
    477,040x = 645,576 × 645,576
  4. Step 4: Simplify right side
    477,040x = 416,768,371,776
  5. Step 5: Solve for x
    x = 416,768,371,776/477,040
  6. Step 6: Final answer
    x = 873,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.