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Finding the Third Proportional to 460,129.50 and 710,714.25

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Solution

The third proportional to 460,129.50 and 710,714.25 is: 1,097,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,129.50 : 710,714.25 = 710,714.25 : x
  2. Step 2: Convert to fraction form
    460,129.50/710,714.25 = 710,714.25/x
  3. Step 3: Cross multiply
    460,129.50x = 710,714.25 × 710,714.25
  4. Step 4: Simplify right side
    460,129.50x = 505,114,745,153.06
  5. Step 5: Solve for x
    x = 505,114,745,153.06/460,129.50
  6. Step 6: Final answer
    x = 1,097,766.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.