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Finding the Third Proportional to 256,140 and 411,547.50

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Solution

The third proportional to 256,140 and 411,547.50 is: 661,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,140 : 411,547.50 = 411,547.50 : x
  2. Step 2: Convert to fraction form
    256,140/411,547.50 = 411,547.50/x
  3. Step 3: Cross multiply
    256,140x = 411,547.50 × 411,547.50
  4. Step 4: Simplify right side
    256,140x = 169,371,344,756.25
  5. Step 5: Solve for x
    x = 169,371,344,756.25/256,140
  6. Step 6: Final answer
    x = 661,245.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.