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Finding the Third Proportional to 287,722.13 and 418,461.19

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Solution

The third proportional to 287,722.13 and 418,461.19 is: 608,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.13 : 418,461.19 = 418,461.19 : x
  2. Step 2: Convert to fraction form
    287,722.13/418,461.19 = 418,461.19/x
  3. Step 3: Cross multiply
    287,722.13x = 418,461.19 × 418,461.19
  4. Step 4: Simplify right side
    287,722.13x = 175,109,765,443.91
  5. Step 5: Solve for x
    x = 175,109,765,443.91/287,722.13
  6. Step 6: Final answer
    x = 608,607.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.