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Finding the Third Proportional to 296,358 and 423,490

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Solution

The third proportional to 296,358 and 423,490 is: 605,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,358 : 423,490 = 423,490 : x
  2. Step 2: Convert to fraction form
    296,358/423,490 = 423,490/x
  3. Step 3: Cross multiply
    296,358x = 423,490 × 423,490
  4. Step 4: Simplify right side
    296,358x = 179,343,780,100
  5. Step 5: Solve for x
    x = 179,343,780,100/296,358
  6. Step 6: Final answer
    x = 605,159.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.