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Finding the Third Proportional to 491,710.50 and 742,088.25

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Solution

The third proportional to 491,710.50 and 742,088.25 is: 1,119,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,710.50 : 742,088.25 = 742,088.25 : x
  2. Step 2: Convert to fraction form
    491,710.50/742,088.25 = 742,088.25/x
  3. Step 3: Cross multiply
    491,710.50x = 742,088.25 × 742,088.25
  4. Step 4: Simplify right side
    491,710.50x = 550,694,970,788.06
  5. Step 5: Solve for x
    x = 550,694,970,788.06/491,710.50
  6. Step 6: Final answer
    x = 1,119,957.72

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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.