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Finding the Third Proportional to 720,664 and 1,530,221

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Solution

The third proportional to 720,664 and 1,530,221 is: 3,249,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,664 : 1,530,221 = 1,530,221 : x
  2. Step 2: Convert to fraction form
    720,664/1,530,221 = 1,530,221/x
  3. Step 3: Cross multiply
    720,664x = 1,530,221 × 1,530,221
  4. Step 4: Simplify right side
    720,664x = 2,341,576,308,841
  5. Step 5: Solve for x
    x = 2,341,576,308,841/720,664
  6. Step 6: Final answer
    x = 3,249,192.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.