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Finding the Third Proportional to 460,120.50 and 710,700.75

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Solution

The third proportional to 460,120.50 and 710,700.75 is: 1,097,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,120.50 : 710,700.75 = 710,700.75 : x
  2. Step 2: Convert to fraction form
    460,120.50/710,700.75 = 710,700.75/x
  3. Step 3: Cross multiply
    460,120.50x = 710,700.75 × 710,700.75
  4. Step 4: Simplify right side
    460,120.50x = 505,095,556,050.56
  5. Step 5: Solve for x
    x = 505,095,556,050.56/460,120.50
  6. Step 6: Final answer
    x = 1,097,746.26

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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.