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Finding the Third Proportional to 460,680 and 710,701.50

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Solution

The third proportional to 460,680 and 710,701.50 is: 1,096,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,680 : 710,701.50 = 710,701.50 : x
  2. Step 2: Convert to fraction form
    460,680/710,701.50 = 710,701.50/x
  3. Step 3: Cross multiply
    460,680x = 710,701.50 × 710,701.50
  4. Step 4: Simplify right side
    460,680x = 505,096,622,102.25
  5. Step 5: Solve for x
    x = 505,096,622,102.25/460,680
  6. Step 6: Final answer
    x = 1,096,415.35

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