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Finding the Third Proportional to 251,812.13 and 390,484.13

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Solution

The third proportional to 251,812.13 and 390,484.13 is: 605,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,812.13 : 390,484.13 = 390,484.13 : x
  2. Step 2: Convert to fraction form
    251,812.13/390,484.13 = 390,484.13/x
  3. Step 3: Cross multiply
    251,812.13x = 390,484.13 × 390,484.13
  4. Step 4: Simplify right side
    251,812.13x = 152,477,851,877.02
  5. Step 5: Solve for x
    x = 152,477,851,877.02/251,812.13
  6. Step 6: Final answer
    x = 605,522.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.