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Finding the Third Proportional to 275,547.75 and 390,006.75

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Solution

The third proportional to 275,547.75 and 390,006.75 is: 552,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,547.75 : 390,006.75 = 390,006.75 : x
  2. Step 2: Convert to fraction form
    275,547.75/390,006.75 = 390,006.75/x
  3. Step 3: Cross multiply
    275,547.75x = 390,006.75 × 390,006.75
  4. Step 4: Simplify right side
    275,547.75x = 152,105,265,045.56
  5. Step 5: Solve for x
    x = 152,105,265,045.56/275,547.75
  6. Step 6: Final answer
    x = 552,010.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.