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Finding the Third Proportional to 389,058.75 and 589,017.50

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Solution

The third proportional to 389,058.75 and 589,017.50 is: 891,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,058.75 : 589,017.50 = 589,017.50 : x
  2. Step 2: Convert to fraction form
    389,058.75/589,017.50 = 589,017.50/x
  3. Step 3: Cross multiply
    389,058.75x = 589,017.50 × 589,017.50
  4. Step 4: Simplify right side
    389,058.75x = 346,941,615,306.25
  5. Step 5: Solve for x
    x = 346,941,615,306.25/389,058.75
  6. Step 6: Final answer
    x = 891,746.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.