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Finding the Third Proportional to 459,742,635 and 688,939,749

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Solution

The third proportional to 459,742,635 and 688,939,749 is: 1,032,399,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,742,635 : 688,939,749 = 688,939,749 : x
  2. Step 2: Convert to fraction form
    459,742,635/688,939,749 = 688,939,749/x
  3. Step 3: Cross multiply
    459,742,635x = 688,939,749 × 688,939,749
  4. Step 4: Simplify right side
    459,742,635x = 474,637,977,752,182,976
  5. Step 5: Solve for x
    x = 474,637,977,752,182,976/459,742,635
  6. Step 6: Final answer
    x = 1,032,399,306.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.