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Finding the Third Proportional to 163,643 and 358,516

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Solution

The third proportional to 163,643 and 358,516 is: 785,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,643 : 358,516 = 358,516 : x
  2. Step 2: Convert to fraction form
    163,643/358,516 = 358,516/x
  3. Step 3: Cross multiply
    163,643x = 358,516 × 358,516
  4. Step 4: Simplify right side
    163,643x = 128,533,722,256
  5. Step 5: Solve for x
    x = 128,533,722,256/163,643
  6. Step 6: Final answer
    x = 785,452.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.