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Finding the Third Proportional to 420,033.94 and 645,985.13

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Solution

The third proportional to 420,033.94 and 645,985.13 is: 993,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,033.94 : 645,985.13 = 645,985.13 : x
  2. Step 2: Convert to fraction form
    420,033.94/645,985.13 = 645,985.13/x
  3. Step 3: Cross multiply
    420,033.94x = 645,985.13 × 645,985.13
  4. Step 4: Simplify right side
    420,033.94x = 417,296,781,721.27
  5. Step 5: Solve for x
    x = 417,296,781,721.27/420,033.94
  6. Step 6: Final answer
    x = 993,483.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.