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Finding the Third Proportional to 153,111 and 225,130.50

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Solution

The third proportional to 153,111 and 225,130.50 is: 331,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,111 : 225,130.50 = 225,130.50 : x
  2. Step 2: Convert to fraction form
    153,111/225,130.50 = 225,130.50/x
  3. Step 3: Cross multiply
    153,111x = 225,130.50 × 225,130.50
  4. Step 4: Simplify right side
    153,111x = 50,683,742,030.25
  5. Step 5: Solve for x
    x = 50,683,742,030.25/153,111
  6. Step 6: Final answer
    x = 331,026.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.