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Finding the Third Proportional to 640,933 and 1,005,397.50

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Solution

The third proportional to 640,933 and 1,005,397.50 is: 1,577,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,933 : 1,005,397.50 = 1,005,397.50 : x
  2. Step 2: Convert to fraction form
    640,933/1,005,397.50 = 1,005,397.50/x
  3. Step 3: Cross multiply
    640,933x = 1,005,397.50 × 1,005,397.50
  4. Step 4: Simplify right side
    640,933x = 1,010,824,133,006.25
  5. Step 5: Solve for x
    x = 1,010,824,133,006.25/640,933
  6. Step 6: Final answer
    x = 1,577,113.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.