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Finding the Third Proportional to 354,429 and 539,038.13

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Solution

The third proportional to 354,429 and 539,038.13 is: 819,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,429 : 539,038.13 = 539,038.13 : x
  2. Step 2: Convert to fraction form
    354,429/539,038.13 = 539,038.13/x
  3. Step 3: Cross multiply
    354,429x = 539,038.13 × 539,038.13
  4. Step 4: Simplify right side
    354,429x = 290,562,100,203.52
  5. Step 5: Solve for x
    x = 290,562,100,203.52/354,429
  6. Step 6: Final answer
    x = 819,803.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.