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Finding the Third Proportional to 456,470 and 709,563

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Solution

The third proportional to 456,470 and 709,563 is: 1,102,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470 : 709,563 = 709,563 : x
  2. Step 2: Convert to fraction form
    456,470/709,563 = 709,563/x
  3. Step 3: Cross multiply
    456,470x = 709,563 × 709,563
  4. Step 4: Simplify right side
    456,470x = 503,479,650,969
  5. Step 5: Solve for x
    x = 503,479,650,969/456,470
  6. Step 6: Final answer
    x = 1,102,985.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.