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Finding the Third Proportional to 145,988 and 314,482

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Solution

The third proportional to 145,988 and 314,482 is: 677,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,988 : 314,482 = 314,482 : x
  2. Step 2: Convert to fraction form
    145,988/314,482 = 314,482/x
  3. Step 3: Cross multiply
    145,988x = 314,482 × 314,482
  4. Step 4: Simplify right side
    145,988x = 98,898,928,324
  5. Step 5: Solve for x
    x = 98,898,928,324/145,988
  6. Step 6: Final answer
    x = 677,445.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.