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Finding the Third Proportional to 546,552 and 1,200,712.50

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Solution

The third proportional to 546,552 and 1,200,712.50 is: 2,637,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,552 : 1,200,712.50 = 1,200,712.50 : x
  2. Step 2: Convert to fraction form
    546,552/1,200,712.50 = 1,200,712.50/x
  3. Step 3: Cross multiply
    546,552x = 1,200,712.50 × 1,200,712.50
  4. Step 4: Simplify right side
    546,552x = 1,441,710,507,656.25
  5. Step 5: Solve for x
    x = 1,441,710,507,656.25/546,552
  6. Step 6: Final answer
    x = 2,637,828.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.