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Finding the Third Proportional to 645,480 and 995,432

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Solution

The third proportional to 645,480 and 995,432 is: 1,535,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,480 : 995,432 = 995,432 : x
  2. Step 2: Convert to fraction form
    645,480/995,432 = 995,432/x
  3. Step 3: Cross multiply
    645,480x = 995,432 × 995,432
  4. Step 4: Simplify right side
    645,480x = 990,884,866,624
  5. Step 5: Solve for x
    x = 990,884,866,624/645,480
  6. Step 6: Final answer
    x = 1,535,113.20

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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.