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Finding the Third Proportional to 456,543 and 657,603

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Solution

The third proportional to 456,543 and 657,603 is: 947,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,543 : 657,603 = 657,603 : x
  2. Step 2: Convert to fraction form
    456,543/657,603 = 657,603/x
  3. Step 3: Cross multiply
    456,543x = 657,603 × 657,603
  4. Step 4: Simplify right side
    456,543x = 432,441,705,609
  5. Step 5: Solve for x
    x = 432,441,705,609/456,543
  6. Step 6: Final answer
    x = 947,209.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.