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Finding the Third Proportional to 315,202.50 and 696,646.13

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Solution

The third proportional to 315,202.50 and 696,646.13 is: 1,539,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,202.50 : 696,646.13 = 696,646.13 : x
  2. Step 2: Convert to fraction form
    315,202.50/696,646.13 = 696,646.13/x
  3. Step 3: Cross multiply
    315,202.50x = 696,646.13 × 696,646.13
  4. Step 4: Simplify right side
    315,202.50x = 485,315,823,477.52
  5. Step 5: Solve for x
    x = 485,315,823,477.52/315,202.50
  6. Step 6: Final answer
    x = 1,539,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.