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Finding the Third Proportional to 145,413 and 317,890

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Solution

The third proportional to 145,413 and 317,890 is: 694,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413 : 317,890 = 317,890 : x
  2. Step 2: Convert to fraction form
    145,413/317,890 = 317,890/x
  3. Step 3: Cross multiply
    145,413x = 317,890 × 317,890
  4. Step 4: Simplify right side
    145,413x = 101,054,052,100
  5. Step 5: Solve for x
    x = 101,054,052,100/145,413
  6. Step 6: Final answer
    x = 694,945.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.