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Finding the Third Proportional to 277,421,808 and 432,017,140

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Solution

The third proportional to 277,421,808 and 432,017,140 is: 672,761,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,421,808 : 432,017,140 = 432,017,140 : x
  2. Step 2: Convert to fraction form
    277,421,808/432,017,140 = 432,017,140/x
  3. Step 3: Cross multiply
    277,421,808x = 432,017,140 × 432,017,140
  4. Step 4: Simplify right side
    277,421,808x = 186,638,809,253,779,584
  5. Step 5: Solve for x
    x = 186,638,809,253,779,584/277,421,808
  6. Step 6: Final answer
    x = 672,761,851.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.