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Finding the Third Proportional to 645,464 and 947,460

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Solution

The third proportional to 645,464 and 947,460 is: 1,390,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,464 : 947,460 = 947,460 : x
  2. Step 2: Convert to fraction form
    645,464/947,460 = 947,460/x
  3. Step 3: Cross multiply
    645,464x = 947,460 × 947,460
  4. Step 4: Simplify right side
    645,464x = 897,680,451,600
  5. Step 5: Solve for x
    x = 897,680,451,600/645,464
  6. Step 6: Final answer
    x = 1,390,752.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.