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Finding the Third Proportional to 631,905 and 1,370,212.50

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Solution

The third proportional to 631,905 and 1,370,212.50 is: 2,971,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,905 : 1,370,212.50 = 1,370,212.50 : x
  2. Step 2: Convert to fraction form
    631,905/1,370,212.50 = 1,370,212.50/x
  3. Step 3: Cross multiply
    631,905x = 1,370,212.50 × 1,370,212.50
  4. Step 4: Simplify right side
    631,905x = 1,877,482,295,156.25
  5. Step 5: Solve for x
    x = 1,877,482,295,156.25/631,905
  6. Step 6: Final answer
    x = 2,971,146.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.