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Finding the Third Proportional to 491,670 and 742,000.50

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Solution

The third proportional to 491,670 and 742,000.50 is: 1,119,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,670 : 742,000.50 = 742,000.50 : x
  2. Step 2: Convert to fraction form
    491,670/742,000.50 = 742,000.50/x
  3. Step 3: Cross multiply
    491,670x = 742,000.50 × 742,000.50
  4. Step 4: Simplify right side
    491,670x = 550,564,742,000.25
  5. Step 5: Solve for x
    x = 550,564,742,000.25/491,670
  6. Step 6: Final answer
    x = 1,119,785.10

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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.