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Finding the Third Proportional to 145,387.13 and 212,442.19

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Solution

The third proportional to 145,387.13 and 212,442.19 is: 310,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,387.13 : 212,442.19 = 212,442.19 : x
  2. Step 2: Convert to fraction form
    145,387.13/212,442.19 = 212,442.19/x
  3. Step 3: Cross multiply
    145,387.13x = 212,442.19 × 212,442.19
  4. Step 4: Simplify right side
    145,387.13x = 45,131,683,029.79
  5. Step 5: Solve for x
    x = 45,131,683,029.79/145,387.13
  6. Step 6: Final answer
    x = 310,424.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.