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Finding the Third Proportional to 311,401.13 and 508,484.81

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Solution

The third proportional to 311,401.13 and 508,484.81 is: 830,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,401.13 : 508,484.81 = 508,484.81 : x
  2. Step 2: Convert to fraction form
    311,401.13/508,484.81 = 508,484.81/x
  3. Step 3: Cross multiply
    311,401.13x = 508,484.81 × 508,484.81
  4. Step 4: Simplify right side
    311,401.13x = 258,556,804,543.16
  5. Step 5: Solve for x
    x = 258,556,804,543.16/311,401.13
  6. Step 6: Final answer
    x = 830,301.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.