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Finding the Third Proportional to 55,390,276 and 128,218,466

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Solution

The third proportional to 55,390,276 and 128,218,466 is: 296,802,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390,276 : 128,218,466 = 128,218,466 : x
  2. Step 2: Convert to fraction form
    55,390,276/128,218,466 = 128,218,466/x
  3. Step 3: Cross multiply
    55,390,276x = 128,218,466 × 128,218,466
  4. Step 4: Simplify right side
    55,390,276x = 16,439,975,023,393,156
  5. Step 5: Solve for x
    x = 16,439,975,023,393,156/55,390,276
  6. Step 6: Final answer
    x = 296,802,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.