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Finding the Third Proportional to 776,074 and 1,688,840

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Solution

The third proportional to 776,074 and 1,688,840 is: 3,675,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,074 : 1,688,840 = 1,688,840 : x
  2. Step 2: Convert to fraction form
    776,074/1,688,840 = 1,688,840/x
  3. Step 3: Cross multiply
    776,074x = 1,688,840 × 1,688,840
  4. Step 4: Simplify right side
    776,074x = 2,852,180,545,600
  5. Step 5: Solve for x
    x = 2,852,180,545,600/776,074
  6. Step 6: Final answer
    x = 3,675,139.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.