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Finding the Third Proportional to 314,316 and 487,080

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Solution

The third proportional to 314,316 and 487,080 is: 754,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,316 : 487,080 = 487,080 : x
  2. Step 2: Convert to fraction form
    314,316/487,080 = 487,080/x
  3. Step 3: Cross multiply
    314,316x = 487,080 × 487,080
  4. Step 4: Simplify right side
    314,316x = 237,246,926,400
  5. Step 5: Solve for x
    x = 237,246,926,400/314,316
  6. Step 6: Final answer
    x = 754,803.85

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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.