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Finding the Third Proportional to 302,654.25 and 487,657.13

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Solution

The third proportional to 302,654.25 and 487,657.13 is: 785,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,654.25 : 487,657.13 = 487,657.13 : x
  2. Step 2: Convert to fraction form
    302,654.25/487,657.13 = 487,657.13/x
  3. Step 3: Cross multiply
    302,654.25x = 487,657.13 × 487,657.13
  4. Step 4: Simplify right side
    302,654.25x = 237,809,471,563.27
  5. Step 5: Solve for x
    x = 237,809,471,563.27/302,654.25
  6. Step 6: Final answer
    x = 785,746.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.