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Finding the Third Proportional to 587,840 and 912,480

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Solution

The third proportional to 587,840 and 912,480 is: 1,416,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,840 : 912,480 = 912,480 : x
  2. Step 2: Convert to fraction form
    587,840/912,480 = 912,480/x
  3. Step 3: Cross multiply
    587,840x = 912,480 × 912,480
  4. Step 4: Simplify right side
    587,840x = 832,619,750,400
  5. Step 5: Solve for x
    x = 832,619,750,400/587,840
  6. Step 6: Final answer
    x = 1,416,405.40

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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.