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Finding the Third Proportional to 456,360 and 709,431

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Solution

The third proportional to 456,360 and 709,431 is: 1,102,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,360 : 709,431 = 709,431 : x
  2. Step 2: Convert to fraction form
    456,360/709,431 = 709,431/x
  3. Step 3: Cross multiply
    456,360x = 709,431 × 709,431
  4. Step 4: Simplify right side
    456,360x = 503,292,343,761
  5. Step 5: Solve for x
    x = 503,292,343,761/456,360
  6. Step 6: Final answer
    x = 1,102,840.62

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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.