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Finding the Third Proportional to 145,680 and 312,432

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Solution

The third proportional to 145,680 and 312,432 is: 670,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,680 : 312,432 = 312,432 : x
  2. Step 2: Convert to fraction form
    145,680/312,432 = 312,432/x
  3. Step 3: Cross multiply
    145,680x = 312,432 × 312,432
  4. Step 4: Simplify right side
    145,680x = 97,613,754,624
  5. Step 5: Solve for x
    x = 97,613,754,624/145,680
  6. Step 6: Final answer
    x = 670,055.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.