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Finding the Third Proportional to 317,730 and 469,203

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Solution

The third proportional to 317,730 and 469,203 is: 692,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,730 : 469,203 = 469,203 : x
  2. Step 2: Convert to fraction form
    317,730/469,203 = 469,203/x
  3. Step 3: Cross multiply
    317,730x = 469,203 × 469,203
  4. Step 4: Simplify right side
    317,730x = 220,151,455,209
  5. Step 5: Solve for x
    x = 220,151,455,209/317,730
  6. Step 6: Final answer
    x = 692,888.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.