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Finding the Third Proportional to 149,468 and 312,784

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Solution

The third proportional to 149,468 and 312,784 is: 654,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468 : 312,784 = 312,784 : x
  2. Step 2: Convert to fraction form
    149,468/312,784 = 312,784/x
  3. Step 3: Cross multiply
    149,468x = 312,784 × 312,784
  4. Step 4: Simplify right side
    149,468x = 97,833,830,656
  5. Step 5: Solve for x
    x = 97,833,830,656/149,468
  6. Step 6: Final answer
    x = 654,547.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.