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Finding the Third Proportional to 145,018 and 321,140

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Solution

The third proportional to 145,018 and 321,140 is: 711,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,018 : 321,140 = 321,140 : x
  2. Step 2: Convert to fraction form
    145,018/321,140 = 321,140/x
  3. Step 3: Cross multiply
    145,018x = 321,140 × 321,140
  4. Step 4: Simplify right side
    145,018x = 103,130,899,600
  5. Step 5: Solve for x
    x = 103,130,899,600/145,018
  6. Step 6: Final answer
    x = 711,159.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.