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Finding the Third Proportional to 145,390.78 and 314,132.34

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Solution

The third proportional to 145,390.78 and 314,132.34 is: 678,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,390.78 : 314,132.34 = 314,132.34 : x
  2. Step 2: Convert to fraction form
    145,390.78/314,132.34 = 314,132.34/x
  3. Step 3: Cross multiply
    145,390.78x = 314,132.34 × 314,132.34
  4. Step 4: Simplify right side
    145,390.78x = 98,679,129,389.87
  5. Step 5: Solve for x
    x = 98,679,129,389.87/145,390.78
  6. Step 6: Final answer
    x = 678,716.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.