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Finding the Third Proportional to 417,968 and 645,780

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Solution

The third proportional to 417,968 and 645,780 is: 997,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,968 : 645,780 = 645,780 : x
  2. Step 2: Convert to fraction form
    417,968/645,780 = 645,780/x
  3. Step 3: Cross multiply
    417,968x = 645,780 × 645,780
  4. Step 4: Simplify right side
    417,968x = 417,031,808,400
  5. Step 5: Solve for x
    x = 417,031,808,400/417,968
  6. Step 6: Final answer
    x = 997,760.14

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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.