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Finding the Third Proportional to 315,316.13 and 488,463.75

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Solution

The third proportional to 315,316.13 and 488,463.75 is: 756,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,316.13 : 488,463.75 = 488,463.75 : x
  2. Step 2: Convert to fraction form
    315,316.13/488,463.75 = 488,463.75/x
  3. Step 3: Cross multiply
    315,316.13x = 488,463.75 × 488,463.75
  4. Step 4: Simplify right side
    315,316.13x = 238,596,835,064.06
  5. Step 5: Solve for x
    x = 238,596,835,064.06/315,316.13
  6. Step 6: Final answer
    x = 756,690.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.