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Finding the Third Proportional to 292,088 and 630,784

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Solution

The third proportional to 292,088 and 630,784 is: 1,362,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,088 : 630,784 = 630,784 : x
  2. Step 2: Convert to fraction form
    292,088/630,784 = 630,784/x
  3. Step 3: Cross multiply
    292,088x = 630,784 × 630,784
  4. Step 4: Simplify right side
    292,088x = 397,888,454,656
  5. Step 5: Solve for x
    x = 397,888,454,656/292,088
  6. Step 6: Final answer
    x = 1,362,221.16

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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.