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Finding the Third Proportional to 145,516 and 314,360

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Solution

The third proportional to 145,516 and 314,360 is: 679,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,516 : 314,360 = 314,360 : x
  2. Step 2: Convert to fraction form
    145,516/314,360 = 314,360/x
  3. Step 3: Cross multiply
    145,516x = 314,360 × 314,360
  4. Step 4: Simplify right side
    145,516x = 98,822,209,600
  5. Step 5: Solve for x
    x = 98,822,209,600/145,516
  6. Step 6: Final answer
    x = 679,115.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.