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Finding the Third Proportional to 329,987 and 514,700

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Solution

The third proportional to 329,987 and 514,700 is: 802,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,987 : 514,700 = 514,700 : x
  2. Step 2: Convert to fraction form
    329,987/514,700 = 514,700/x
  3. Step 3: Cross multiply
    329,987x = 514,700 × 514,700
  4. Step 4: Simplify right side
    329,987x = 264,916,090,000
  5. Step 5: Solve for x
    x = 264,916,090,000/329,987
  6. Step 6: Final answer
    x = 802,807.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.