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Finding the Third Proportional to 335,304 and 507,289.50

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Solution

The third proportional to 335,304 and 507,289.50 is: 767,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,304 : 507,289.50 = 507,289.50 : x
  2. Step 2: Convert to fraction form
    335,304/507,289.50 = 507,289.50/x
  3. Step 3: Cross multiply
    335,304x = 507,289.50 × 507,289.50
  4. Step 4: Simplify right side
    335,304x = 257,342,636,810.25
  5. Step 5: Solve for x
    x = 257,342,636,810.25/335,304
  6. Step 6: Final answer
    x = 767,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.