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Finding the Third Proportional to 402,290.50 and 607,536.50

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Solution

The third proportional to 402,290.50 and 607,536.50 is: 917,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,290.50 : 607,536.50 = 607,536.50 : x
  2. Step 2: Convert to fraction form
    402,290.50/607,536.50 = 607,536.50/x
  3. Step 3: Cross multiply
    402,290.50x = 607,536.50 × 607,536.50
  4. Step 4: Simplify right side
    402,290.50x = 369,100,598,832.25
  5. Step 5: Solve for x
    x = 369,100,598,832.25/402,290.50
  6. Step 6: Final answer
    x = 917,497.68

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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.