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Finding the Third Proportional to 315,748.13 and 486,077.63

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Solution

The third proportional to 315,748.13 and 486,077.63 is: 748,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748.13 : 486,077.63 = 486,077.63 : x
  2. Step 2: Convert to fraction form
    315,748.13/486,077.63 = 486,077.63/x
  3. Step 3: Cross multiply
    315,748.13x = 486,077.63 × 486,077.63
  4. Step 4: Simplify right side
    315,748.13x = 236,271,457,525.64
  5. Step 5: Solve for x
    x = 236,271,457,525.64/315,748.13
  6. Step 6: Final answer
    x = 748,290.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.