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Finding the Third Proportional to 319,748 and 469,254

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Solution

The third proportional to 319,748 and 469,254 is: 688,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,748 : 469,254 = 469,254 : x
  2. Step 2: Convert to fraction form
    319,748/469,254 = 469,254/x
  3. Step 3: Cross multiply
    319,748x = 469,254 × 469,254
  4. Step 4: Simplify right side
    319,748x = 220,199,316,516
  5. Step 5: Solve for x
    x = 220,199,316,516/319,748
  6. Step 6: Final answer
    x = 688,665.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.