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Finding the Third Proportional to 316,413 and 488,587.50

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Solution

The third proportional to 316,413 and 488,587.50 is: 754,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,413 : 488,587.50 = 488,587.50 : x
  2. Step 2: Convert to fraction form
    316,413/488,587.50 = 488,587.50/x
  3. Step 3: Cross multiply
    316,413x = 488,587.50 × 488,587.50
  4. Step 4: Simplify right side
    316,413x = 238,717,745,156.25
  5. Step 5: Solve for x
    x = 238,717,745,156.25/316,413
  6. Step 6: Final answer
    x = 754,449.87

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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.