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Finding the Third Proportional to 256,770 and 375,646.50

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Solution

The third proportional to 256,770 and 375,646.50 is: 549,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,770 : 375,646.50 = 375,646.50 : x
  2. Step 2: Convert to fraction form
    256,770/375,646.50 = 375,646.50/x
  3. Step 3: Cross multiply
    256,770x = 375,646.50 × 375,646.50
  4. Step 4: Simplify right side
    256,770x = 141,110,292,962.25
  5. Step 5: Solve for x
    x = 141,110,292,962.25/256,770
  6. Step 6: Final answer
    x = 549,559.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.