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Finding the Third Proportional to 456,278 and 688,102

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Solution

The third proportional to 456,278 and 688,102 is: 1,037,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,278 : 688,102 = 688,102 : x
  2. Step 2: Convert to fraction form
    456,278/688,102 = 688,102/x
  3. Step 3: Cross multiply
    456,278x = 688,102 × 688,102
  4. Step 4: Simplify right side
    456,278x = 473,484,362,404
  5. Step 5: Solve for x
    x = 473,484,362,404/456,278
  6. Step 6: Final answer
    x = 1,037,710.26

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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.