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Finding the Third Proportional to 644,981 and 1,506,140

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Solution

The third proportional to 644,981 and 1,506,140 is: 3,517,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,981 : 1,506,140 = 1,506,140 : x
  2. Step 2: Convert to fraction form
    644,981/1,506,140 = 1,506,140/x
  3. Step 3: Cross multiply
    644,981x = 1,506,140 × 1,506,140
  4. Step 4: Simplify right side
    644,981x = 2,268,457,699,600
  5. Step 5: Solve for x
    x = 2,268,457,699,600/644,981
  6. Step 6: Final answer
    x = 3,517,092.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.