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Finding the Third Proportional to 418,417.52 and 663,839.93

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Solution

The third proportional to 418,417.52 and 663,839.93 is: 1,053,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,417.52 : 663,839.93 = 663,839.93 : x
  2. Step 2: Convert to fraction form
    418,417.52/663,839.93 = 663,839.93/x
  3. Step 3: Cross multiply
    418,417.52x = 663,839.93 × 663,839.93
  4. Step 4: Simplify right side
    418,417.52x = 440,683,452,247.51
  5. Step 5: Solve for x
    x = 440,683,452,247.51/418,417.52
  6. Step 6: Final answer
    x = 1,053,214.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.