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Finding the Third Proportional to 200,417.63 and 417,421.13

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Solution

The third proportional to 200,417.63 and 417,421.13 is: 869,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,417.63 : 417,421.13 = 417,421.13 : x
  2. Step 2: Convert to fraction form
    200,417.63/417,421.13 = 417,421.13/x
  3. Step 3: Cross multiply
    200,417.63x = 417,421.13 × 417,421.13
  4. Step 4: Simplify right side
    200,417.63x = 174,240,395,596.27
  5. Step 5: Solve for x
    x = 174,240,395,596.27/200,417.63
  6. Step 6: Final answer
    x = 869,386.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.