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Finding the Third Proportional to 243,285.75 and 387,411.75

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Solution

The third proportional to 243,285.75 and 387,411.75 is: 616,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,285.75 : 387,411.75 = 387,411.75 : x
  2. Step 2: Convert to fraction form
    243,285.75/387,411.75 = 387,411.75/x
  3. Step 3: Cross multiply
    243,285.75x = 387,411.75 × 387,411.75
  4. Step 4: Simplify right side
    243,285.75x = 150,087,864,038.06
  5. Step 5: Solve for x
    x = 150,087,864,038.06/243,285.75
  6. Step 6: Final answer
    x = 616,920.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.