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Finding the Third Proportional to 311,610 and 508,776

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Solution

The third proportional to 311,610 and 508,776 is: 830,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,610 : 508,776 = 508,776 : x
  2. Step 2: Convert to fraction form
    311,610/508,776 = 508,776/x
  3. Step 3: Cross multiply
    311,610x = 508,776 × 508,776
  4. Step 4: Simplify right side
    311,610x = 258,853,018,176
  5. Step 5: Solve for x
    x = 258,853,018,176/311,610
  6. Step 6: Final answer
    x = 830,695.48

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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.